Some papers and preprints in 2003 by Dr. Prof. Feng Qi

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Some papers and preprints in 2003

Thirty seven papers formally published in 2003

2003年正式发表的37篇论文

  1. Feng Qi, Inequalities and monotonicity of sequences involving $\sqrt[n]{(n+k)!/k!}$, Soochow Journal of Mathematics 29 (2003), no. 4, 353–361.
    • Cited by-被引用情况
      1. Miao-Qing An, Logarithmically complete monotonicity and logarithmically absolute monotonicity properties for the gamma function, Communications in Mathematical Analysis 6 (2009), no. 2, 69–78.
      2. Tie-Hong Zhao, Yu-Ming Chu and Yue-Ping Jiang, Monotonic and logarithmically convex properties of a function involving gamma functions, Journal of Inequalities and Applications 2009 (2009), Article ID 728612, 13 pages; Available online at http://dx.doi.org/10.1155/2009/728612.
      3. Jian-She Sun, Monotonicity results and inequalities involving the gamma function, RGMIA Research Report Collection 7 (2004), no. 3, Article 14, 487–494; Available online at http://rgmia.org/v7n3.php.
      4. Jian-She Sun, Sequence inequalities for the logarithmic convex (concave) function, Communications in Mathematical Analysis 1 (2006), no. 1, 6–11.
      5. Jian-She Sun, Sequence inequalities for the logarithmic convex (concave) function, RGMIA Research Report Collection 7 (2004), no. 4, Article 2, 549–554; Available online at http://rgmia.org/v7n4.php.
  2. Feng Qi, Inequalities and monotonicity of the ratio for the geometric means of a positive arithmetic sequence with unit difference, International Journal of Mathematical Education in Science and Technology 34 (2003), no. 4, 601–607; Available online at http://dx.doi.org/10.1080/0020739031000149010.
    • Cited by-被引用情况
      1. Miao-Qing An, Logarithmically complete monotonicity and logarithmically absolute monotonicity properties for the gamma function, Communications in Mathematical Analysis 6 (2009), no. 2, 69–78.
      2. Grahame Bennett, Meaningful inequalities, Journal of Mathematical Inequalities 1 (2007), no. 4, 449–471.
      3. M. Shakil and J. N. Singh, On some inequalities for gamma and psi functions of natural numbers, with historical remarks and applications, Varāhmihir Journal of Mathematical Sciences 6 (2006), no. 1, 31–41.
  3. Feng Qi, Inequalities and monotonicity of the ratio for the geometric means of a positive arithmetic sequence with unit difference, Australian Mathematical Society Gazette 30 (2003), no. 3, 142–147.
  4. Feng Qi, The extended mean values: Definition, properties, monotonicities, comparison, convexities, generalizations, and applications, Cubo 5 (2003), no. 3, 63–90.
  5. Feng Qi and Jun-Xiang Cheng, Some new Steffensen pairs, Analysis Mathematica 29 (2003), no. 3, 219–226; Available online at http://dx.doi.org/10.1023/A:1025467221664.
  6. Feng Qi and Bai-Ni Guo, An inequality between ratio of the extended logarithmic means and ratio of the exponential means, Taiwanese Journal of Mathematics 7 (2003), no. 2, 229–237; Available online at https://doi.org/10.11650/twjm/1500575060.
    • Cited by-被引用情况
      1. Jian-She Sun, Further generalizations of inequalities and monotonicity for the ratio of gamma function, International Journal Applied Mathematical Sciences 2 (2005), no. 2, 248–257.
      2. Ming-Yu Shi, Yu-Ming Chu and Yue-Ping Jiang, Optimal inequalities related to the power, harmonic and identric means, Acta Matematica Scientia Series B (2010), in press.
      3. Chao-Ping Chen, The monotonicity of the ratio between Stolarsky means, RGMIA Research Report Collection 11 (2008), no. 4, Article 15; Available online at http://rgmia.org/v11n4.php.
      4. Chao-Ping Chen, Stolarsky and Gini means, RGMIA Research Report Collection 11 (2008), no. 4, Article 11; Available online at http://rgmia.org/v11n4.php.
      5. Xin Li and Chao-Ping Chen, On integral version of Alzer’s inequality and Martins’ inequality, Communications in Mathematical Analysis 2 (2007), no. 1, 47–52.
      6. Grahame Bennett, Meaningful inequalities, Journal of Mathematical Inequalities 1 (2007), no. 4, 449–471.
      7. Kaizhong Guan and Huantao Zhu, The generalized Heronian mean and its inequalities, Univerzitet u Beogradu Publikacije Elektrotehničkog Fakulteta, Serija: Matematika 17 (2006), 60–75.
      8. Vania Mascioni, A sufficient condition for the integral version of Martins’ inequality, Journal of Inequalities in Pure and Applied Mathematics 5 (2004), no. 2, Article 32; Available online at http://www.emis.de/journals/JIPAM/article382.html.
      9. Jian-She Sun, Monotonicity results and inequalities involving the gamma function, RGMIA Research Report Collection 7 (2004), no. 3, Article 14, 487–494; Available online at http://rgmia.org/v7n3.php.
      10. Jian-She Sun, Note on an open problem for algebraic inequality, RGMIA Research Report Collection 7 (2004), no. 4, Article 5, 603–607; Available online at http://rgmia.org/v7n4.php.
  7. Feng Qi and Bai-Ni Guo, Monotonicity of sequences involving geometric means of positive sequences, Nonlinear Functional Analysis and Applications 8 (2003), no. 4, 507–518.
    • Cited by-被引用情况
      1. Grahame Bennett, Meaningful inequalities, Journal of Mathematical Inequalities 1 (2007), no. 4, 449–471.
  8. Chao-Ping Chen and Feng Qi, A double inequality for remainder of power series of tangent function, Tamkang Journal of Mathematics 34 (2003), no. 3, 351–355; Available online at http://dx.doi.org/10.5556/j.tkjm.34.2003.236.
  9. Chao-Ping Chen and Feng Qi, A new proof for monotonicity of the generalized weighted mean values, Advanced Studies in Contemporary Mathematics (Kyungshang) 6 (2003), no. 1, 13–16.
    • Cited by-被引用情况
      1. Alfred Witkowski, An even easier proof on monotonicity of Stolarsky means, RGMIA Research Report Collection 13 (2010), no. 1, Article 4; Available online at http://rgmia.org/v13n1.php.
  10. Chao-Ping Chen and Feng Qi, Monotonicity results for the gamma function, Journal of Inequalities in Pure and Applied Mathematics 4 (2003), no. 2, Article 44; Available online at http://www.emis.de/journals/JIPAM/article282.html.
    • Cited by-被引用情况
      1. Zhang Xiaohui, Wang Gendi and Chu Yuming, Monotonicity and inequalities for the gamma function, Far East Journal of Mathematical Sciences 21 (2006), no. 1, 33–39.
      2. Miao-Qing An, Logarithmically complete monotonicity and logarithmically absolute monotonicity properties for the gamma function, Communications in Mathematical Analysis 6 (2009), no. 2, 69–78.
      3. Yaming Yu, An inequality for ratios of gamma functions, Journal of Mathematical Analysis and Applications 352 (2009), no. 2, 967–970; Available online at http://dx.doi.org/10.1016/j.jmaa.2008.11.040.
      4. Jian-She Sun, The best bounds in Minc H and Sathre L inequality, College Mathematics 23 (2007), no. 1, 52–55.
      5. Necdet Batir, An interesting double inequality for Euler’s gamma function, Journal of Inequalities in Pure and Applied Mathematics 5 (2004), no. 4, Article 97; Available online at http://www.emis.de/journals/JIPAM/article452.html.
      6. Necdet Batir, Some new inequalities for gamma and polygamma functions, Journal of Inequalities in Pure and Applied Mathematics 6 (2005), no. 4, Article 103; Available http://www.emis.de/journals/JIPAM/article577.html.
      7. Senlin Guo, Monotonicity and concavity properties of some functions involving the gamma function with applications, Journal of Inequalities in Pure and Applied Mathematics 7 (2006), no. 2, Article 45; Available online at http://www.emis.de/journals/JIPAM/article662.html.
      8. Jian-She Sun, Monotonicity results and inequalities involving the gamma function, RGMIA Research Report Collection 7 (2004), no. 3, Article 14, 487–494; Available online at http://rgmia.org/v7n3.php.
      9. Necdet Batir, An interesting inequality for the Euler’s gamma function, RGMIA Research Report Collection 7 (2004), no. 2, Article 16; Available online at http://rgmia.org/v7n2.php.
      10. Necdet Batir, Some new inequalities for gamma and polygamma functions, RGMIA Research Report Collection 7 (2004), no. 3, Article 1, 371–381; Available online at http://rgmia.org/v7n3.php.
  11. Chao-Ping Chen and Feng Qi, Notes on proofs of Alzer’s inequality, Octogon Mathematical Magazine 11 (2003), no. 1, 29–33.
    • Cited by-被引用情况
      1. S. Abramovich, J. Barić, M. Matić and J. Pečarić, On van de Lune-Alzer’s inequality, Journal of Mathematical Inequalities 1 (2007), no. 4, 563–587.
      2. 王明建，胡博，H. Alzer函数单调性的证明与性质，数学的实践与认识 36 (2006), no. 10, 243–246.
  12. Chao-Ping Chen and Feng Qi, The inequality of Alzer for negative powers, Octogon Mathematical Magazine 11 (2003), no. 2, 442–445.
    • Cited by-被引用情况
      1. S. Abramovich, J. Barić, M. Matić and J. Pečarić, On van de Lune-Alzer’s inequality, Journal of Mathematical Inequalities 1 (2007), no. 4, 563–587.
      2. József Sándor, On an inequality of Alzer, II, Octogon Mathematical Magazine 11 (2003), no. 2, 554–555.
  13. Chao-Ping Chen and Feng Qi, Three improper integrals relating to the generating function of Bernoulli numbers, Octogon Mathematical Magazine 11 (2003), no. 2, 408–409.
  14. Chao-Ping Chen, Feng Qi, Pietro Cerone and Sever S. Dragomir, Monotonicity of sequences involving convex and concave functions, Mathematical Inequalities & Applications 6 (2003), no. 2, 229–239; Available online at http://dx.doi.org/10.7153/mia-06-22.
    • Cited by-被引用情况
      1. László Losonczi, Ratio of Stolarsky means: monotonicity and comparison, Publicationes Mathematicae Debrecen 75 (2009), no. 1-2, 221–238.
      2. S. Abramovich, J. Barić, M. Matić and J. Pečarić, On van de Lune-Alzer’s inequality, Journal of Mathematical Inequalities 1 (2007), no. 4, 563–587.
      3. Jian-She Sun, Monotonicity results and inequalities involving the gamma function, RGMIA Research Report Collection 7 (2004), no. 3, Article 14, 487–494; Available online at http://rgmia.org/v7n3.php.
      4. Shoshana Abramovich, Graham Jameson and Gord Sinnamon, Inequalities for averages of convex and superquadratic functions, Journal of Inequalities in Pure and Applied Mathematics 5 (2004), no. 4, Article 91; Available online at http://www.emis.de/journals/JIPAM/article444.html.
  15. Bai-Ni Guo and Feng Qi, Estimates for an integral in $L^p$ norm of the $(n+1)$-th derivative of its integrand, The 7th International Conference on Nonlinear Functional Analysis and Applications, Chinju, South Korea, August 6-10, 2001; Inequality Theory and Applications, Volume 3, Yeol Je Cho, Jong Kyu Kim, and Sever S. Dragomir (Eds), Nova Science Publishers, Hauppauge, NY, ISBN 1-59033-891-X, 2003, pp. 127–131.
  16. Bai-Ni Guo and Feng Qi, Inequalities and monotonicity for the ratio of gamma functions, Taiwanese Journal of Mathematics 7 (2003), no. 2, 239–247; Available online at https://doi.org/10.11650/twjm/1500575061.
    • Cited by-被引用情况
      1. Chao-Ping Chen and H. M. Srivastava, Some inequalities and monotonicity properties associated with the gamma and psi functions and the Barnes $G$-function, Integral Transforms and Special Functions 22 (2011), no. 1, 1–15; Available online at http://dx.doi.org/10.1080/10652469.2010.483899.
      2. Jian-She Sun, Further generalizations of inequalities and monotonicity for the ratio of gamma function, International Journal Applied Mathematical Sciences 2 (2005), no. 2, 248–257.
      3. Tie-Hong Zhao, Yu-Ming Chu, and Hua Wang, Logarithmically complete monotonicity properties relating to the gamma function, Abstract and Applied Analysis 2011 (2011), Article ID 896483, 13 pages; Available online at http://dx.doi.org/10.1155/2011/896483.
      4. Tie-Hong Zhao and Yu-Ming Chu, A class of logarithmically completely monotonic functions associated with a gamma function, Journal of Inequalities and Applications 2010 (2010), Article ID 392431, 11 pages; Available online at http://dx.doi.org/10.1155/2010/392431.
      5. Xiaoming Zhang and Yuming Chu, An improvement over Gautschi’s inequality for gamma function, Journal of Inequalities and Application 2009 (2009), in press.
      6. Zhang Xiaohui, Wang Gendi and Chu Yuming, Monotonicity and inequalities for the gamma function, Far East Journal of Mathematical Sciences 21 (2006), no. 1, 33–39.
      7. Miao-Qing An, Logarithmically complete monotonicity and logarithmically absolute monotonicity properties for the gamma function, Communications in Mathematical Analysis 6 (2009), no. 2, 69–78.
      8. Tie-Hong Zhao, Yu-Ming Chu and Yue-Ping Jiang, Monotonic and logarithmically convex properties of a function involving gamma functions, Journal of Inequalities and Applications 2009 (2009), Article ID 728612, 13 pages; Available online at http://dx.doi.org/10.1155/2009/728612.
      9. Yaming Yu, An inequality for ratios of gamma functions, Journal of Mathematical Analysis and Applications 352 (2009), no. 2, 967–970; Available online at http://dx.doi.org/10.1016/j.jmaa.2008.11.040.
      10. Senlin Guo, Monotonicity and concavity properties of some functions involving the gamma function with applications, Journal of Inequalities in Pure and Applied Mathematics 7 (2006), no. 2, Article 45; Available online at http://www.emis.de/journals/JIPAM/article662.html.
      11. Jian-She Sun, Monotonicity results and inequalities involving the gamma function, RGMIA Research Report Collection 7 (2004), no. 3, Article 14, 487–494; Available online at http://rgmia.org/v7n3.php.
      12. M. Shakil and J. N. Singh, On some inequalities for gamma and psi functions of natural numbers, with historical remarks and applications, Varāhmihir Journal of Mathematical Sciences 6 (2006), no. 1, 31–41.
    • Awarded by-获奖情况
      1. 2006年6月获河南省第9届自然科学论文二等奖。
  17. Bai-Ni Guo and Feng Qi, Inequalities and monotonicity of the ratio for the geometric means of a positive arithmetic sequence with arbitrary difference, Tamkang Journal of Mathematics 34 (2003), no. 3, 261–270; Available online at http://dx.doi.org/10.5556/j.tkjm.34.2003.319.
    • Cited by-被引用情况
      1. Miao-Qing An, Logarithmically complete monotonicity and logarithmically absolute monotonicity properties for the gamma function, Communications in Mathematical Analysis 6 (2009), no. 2, 69–78.
      2. S. Abramovich, J. Barić, M. Matić and J. Pečarić, On van de Lune-Alzer’s inequality, Journal of Mathematical Inequalities 1 (2007), no. 4, 563–587.
      3. Grahame Bennett, Meaningful inequalities, Journal of Mathematical Inequalities 1 (2007), no. 4, 449–471.
      4. Jian-She Sun, Monotonicity results and inequalities involving the gamma function, RGMIA Research Report Collection 7 (2004), no. 3, Article 14, 487–494; Available online at http://rgmia.org/v7n3.php.
  18. Bai-Ni Guo and Feng Qi, Some estimates of an integral in terms of the $L^p$-norm of the $(n+1)$st derivative of its integrand, Analysis Mathematica 29 (2003), no. 1, 1–6; Available online at http://dx.doi.org/10.1023/A:1022894413541.
  19. Qiu-Ming Luo and Feng Qi, Evaluation of a class of the first kind improper integrals $\int_0^\infty \bigl(\frac{\sin(\beta x)}{x}\bigr)^n \cos(bx) dx$, Octogon Mathematical Magazine 11 (2003), no. 1, 76–81.
  20. Qiu-Ming Luo and Feng Qi, Evaluation of the improper integrals $\int_0^\infty \frac{\sin^{2m}(a x)}{x^{2n}} \cos(bx) dx$ and $\int_0^\infty \frac{\sin^{2m+1}(a x)}{x^{2n+1}} \cos(bx) dx$, Australian Mathematical Society Gazette 30 (2003), no. 2, 86–89.
    • Cited by-被引用情况
      1. 雒秋明，一类包含高阶Bernoulli数和高阶Euler数的积分计算公式，商丘师范学院学报 20 (2004), no. 5, 44–47.
      2. 雒秋明，朱青堂，一类包含高阶Bernoulli-Euler多项式的积分公式，河南科学 22 (2004), no. 5, 574–576.
  21. Qiu-Ming Luo and Feng Qi, Relationships between generalized Bernoulli numbers and polynomials and generalized Euler numbers and polynomials, Advanced Studies in Contemporary Mathematics (Kyungshang) 7 (2003), no. 1, 11–18.
    • Cited by-被引用情况
      1. Taekyun Kim, Analytic continuation of $q$-Euler numbers and polynomials, Available online http://arxiv.org/abs/0801.0480.
      2. Min-Soo Kim and Jin-Woo Son, Analytic properties of the $q$-Volkenborn integral on the ring of $p$-adic integers, Bulletin of the Korean Mathematical Society 44 (2007), no. 1, 1–12.
      3. Tie-Hong Zhao, Yu-Ming Chu and Yue-Ping Jiang, Monotonic and logarithmically convex properties of a function involving gamma functions, Journal of Inequalities and Applications 2009 (2009), Article ID 728612, 13 pages; Available online at http://dx.doi.org/10.1155/2009/728612.
      4. 杨梦龙，丁军猛，广义高阶Bernoulli和Euler多项式的关系，焦作大学学报，2006年第4期，68–69.
      5. 杨梦龙，李希臣，Apostol-Bernoulli多项式和Gauss超几何函数之间的关系，河南机电高等专科学校学报 14 (2006), no. 4, 109–110和128.
      6. 雒秋明，安春香，高阶Bernoulli数和高阶Euler数的关系，河南师范大学学报（自然科学版） 32 (2004), no. 2, 28–30.
      7. 雒秋明，李长青，高阶Euler数的推广及其应用，纯粹数学与应用数学 21 (2005), no. 4, 325–328.
      8. 雒秋明，付立志，Apostol-Bernoulli多项式和Hurwitz Zeta函数，商丘师范学院学报 21 (2005), no. 5, 32–35.
      9. 雒秋明，朱青堂，Euler多项式的推广及其应用，信阳师范学院学报（自然科学版） 18 (2005), no. 1, 13–15.
      10. 雒秋明，郭田芬，马韵新，高阶Bernoulli数和高阶Bernoulli多项式，河南科学 22 (2004), no. 3, 285–289.
  22. Qiu-Ming Luo, Feng Qi, Neil S. Barnett and Sever S. Dragomir, Inequalities involving the sequence $\sqrt[3]{a+\sqrt[3]{a+\dotsm+\sqrt[3]{a}}}$, Mathematical Inequalities & Applications 6 (2003), no. 3, 413–419; Available online at http://dx.doi.org/10.7153/mia-06-38.
    • Cited by-被引用情况
      1. 雒秋明，付立志，连立方根序列的收敛性及其估值不等式，大学数学 21 (2005), no. 5, 116-120.
  23. Qiu-Ming Luo, Feng Qi and Lokenath Debnath, Generalizations of Euler numbers and polynomials, International Journal of Mathematics and Mathematical Sciences 2003 (2003), no. 61, 3893–3901; Available online at http://dx.doi.org/10.1155/S016117120321108X.
    • Cited by-被引用情况
      1. Ghislain R. Franssens, On a number pyramid related to the binomial, Deleham, Eulerian, MacMahon and Stirling number triangles, Journal of Integer Sequences 9 (2006), no. 4, Article 06.4.1.
      2. Tie-Hong Zhao, Yu-Ming Chu and Yue-Ping Jiang, Monotonic and logarithmically convex properties of a function involving gamma functions, Journal of Inequalities and Applications 2009 (2009), Article ID 728612, 13 pages; Available online at http://dx.doi.org/10.1155/2009/728612.
      3. 杨梦龙，丁军猛，广义高阶Bernoulli和Euler多项式的关系，焦作大学学报，2006年第4期，68–69.
      4. 杨梦龙，李希臣，Apostol-Bernoulli多项式和Gauss超几何函数之间的关系，河南机电高等专科学校学报 14 (2006), no. 4, 109–110和128.
      5. 雒秋明，安春香，高阶Bernoulli数和高阶Euler数的关系，河南师范大学学报（自然科学版） 32 (2004), no. 2, 28–30.
      6. 雒秋明，李长青，高阶Euler数的推广及其应用，纯粹数学与应用数学 21 (2005), no. 4, 325–328.
      7. Qiu-Ming Luo, Euler polynomials of higher order involving the Stirling numbers of the second kind, Australian Mathematical Society Gazette 31 (2004), no. 3, 194–196.
      8. 雒秋明，付立志，Apostol-Bernoulli多项式和Hurwitz Zeta函数，商丘师范学院学报 21 (2005), no. 5, 32–35.
      9. 雒秋明，朱青堂，Euler多项式的推广及其应用，信阳师范学院学报（自然科学版） 18 (2005), no. 1, 13–15.
  24. S. Mazouzi and Feng Qi, On an open problem regarding an integral inequality, Journal of Inequalities in Pure and Applied Mathematics 4 (2003), no. 2, Article 31; Available online at http://www.emis.de/journals/JIPAM/article269.html.
    • Cited by-被引用情况
      1. Xinkuan Chai, Yonggang Zhao, and Hongxia Du, Several answers to an open problem, International Journal of Contemporary Mathematical Sciences 5 (2010), no. 37, 1813–1817.
      2. Zoubir Dahmani and Hanane Metakkel El Ard, Generalizations of some integral inequalities using Riemann-Liouville operator, International Journal of Open Problems in Computer Science and Mathematics 4 (2011), no. 4, 40–46.
      3. Zoubir Dahmani and Nabil Bedjaoui, Some generalized integral inequalities, Journal of Advanced Research in Applied Mathematics 3 (2011), no. 4, 58–66.
      4. Zoubir Dahmani, New inequalities of Qi type, Journal of Mathematics and System Science 1 (2011), no. 1, 1–7.
      5. Jian-She Sun and Yan-Zhi Wu, Note on an open problem of inequality, College Mathematics (Daxue Shuxue) 24 (2008), no. 1, 126–128.
      6. Xinkuan Chai and Hongxia Du, Several discrete inequalities, International Journal of Mathematical Analysis 4 (2010), no. 33-36, 1645–1649.
      7. Zoubir Dahmani and Louiza Tabharit, Certain inequalities involving fractional integrals, Journal of Advanced Research in Scientific Computing 2 (2010), no. 1, 55–60.
      8. Zoubir Dahmani and Soumia Belarbi, Some inequalities of Qi type using fractional integration, International Journal of Nonlinear Science 10 (2010), no. 4, 396–400.
      9. Wenjun Liu, Anh Quôc Ngô and Vu Nhat Huy, Several interesting integral inequalities, Journal of Mathematical Inequalities 3 (2009), no. 2, 201–212.
      10. Yu Miao and Juan-Fang Liu, Discrete results of Qi-type inequality, Bulletin of the Korean Mathematical Society 46 (2009), no. 1, 125–134.
      11. Yong Hong, A note on Feng Qi type integral inequalities, International Journal of Mathematical Analysis 1 (2007), no. 25-28, 1243–1247.
      12. Kamel Brahim, Néji Bettaibi and Mouna Sellemi, On some Feng Qi type $q$-integral inequalities, Journal of Inequalities in Pure and Applied Mathematics 9 (2008), no. 2, Article 43; Available online at http://www.emis.de/journals/JIPAM/article975.html.
      13. Wenjun Liu, Chuncheng Li and Jianwei Dong, Consolidations of extended Qi’s inequality and Bougoffa’s inequality, Journal of Mathematical Inequalities 2 (2008), no. 1, 9–15.
      14. Yu Miao, Further development of Qi-type integral inequality, Journal of Inequalities in Pure and Applied Mathematics 7 (2006), no. 4, Article 144; Available online at http://www.emis.de/journals/JIPAM/article763.html.
      15. Wen-Jun Liu, Chun-Cheng Li and Jian-Wei Dong, Note on Qi’s inequality and Bougoffa’s inequality, Journal of Inequalities in Pure and Applied Mathematics 7 (2006), no. 4, Article 129; Available online at http://www.emis.de/journals/JIPAM/article746.html.
      16. Ngô Quôc Anh and Pham Huy Tung, Notes on an open problem of F. Qi and Y. Chen and J. Kimball, Journal of Inequalities in Pure and Applied Mathematics 8 (2007), no. 2, Article 41; Available online at http://www.emis.de/journals/JIPAM/article856.html.
      17. Mohamed Akkouchi, On an integral inequality of Feng Qi, Divulgaciones Matemáticas 13 (2005), no. 1, 11–19.
      18. Villö Csiszár and Tamás F. Móri, The convexity method of proving moment-type inequalities, Statistics and Probability Letters 66 (2004), no. 3, 303–313.
      19. Jian-She Sun, A note on an open problem for integral inequality, RGMIA Research Report Collection 7 (2004), no. 3, Article 21, 539–542; Available online at http://rgmia.org/v7n3.php.
      20. J. E. Pečarić and T. Pejković, On an integral inequality, Journal of Inequalities in Pure and Applied Mathematics 5 (2004), no. 2, Article 47; Available online at http://www.emis.de/journals/JIPAM/article401.html.
      21. J. E. Pečarić and T. Pejković, Note on Feng Qi’s integral inequality, Journal of Inequalities in Pure and Applied Mathematics 5 (2004), no. 3, Article 51; Available online at http://www.emis.de/journals/JIPAM/article418.html.
      22. Lazhar Bougoffa, Notes on Qi type integral inequalities, Journal of Inequalities in Pure and Applied Mathematics 4 (2003), no. 4, Article 77; Available online at http://www.emis.de/journals/JIPAM/article318.html.
      23. Alfred Witkowski, On a F. Qi integral inequality, Journal of Inequalities in Pure and Applied Mathematics 6 (2005), no. 2, Article 36; Available online at http://www.emis.de/journals/JIPAM/article505.html.
      24. Lazhar Bougoffa, An integral inequality similar to Qi’s inequality, Journal of Inequalities in Pure and Applied Mathematics 6 (2005), no. 1, Article 27; Available online at http://www.emis.de/journals/JIPAM/article496.html.
      25. Yin Chen and John Kimball, Note on an open problem of Feng Qi, Journal of Inequalities in Pure and Applied Mathematics 7 (2006), no. 1, Article 4; Available online at http://www.emis.de/journals/JIPAM/article621.html.
  25. Tsz Ho Chan, Peng Gao and Feng Qi, On a generalization of Martins’ inequality, Monatshefte für Mathematik 138 (2003), no. 3, 179–187; Available online at http://dx.doi.org/10.1007/s00605-002-0524-x.
    • Cited by-被引用情况
      1. Jian-She Sun, Further generalizations of inequalities and monotonicity for the ratio of gamma function, International Journal Applied Mathematical Sciences 2 (2005), no. 2, 248–257.
      2. László Losonczi, Ratio of Stolarsky means: monotonicity and comparison, Publicationes Mathematicae Debrecen 75 (2009), no. 1-2, 221–238.
      3. Grahame Bennett, Meaningful sequences, Houston Journal of Mathematics 33 (2007), no. 2, 555–580.
      4. Grahame Bennett, Meaningful inequalities, Journal of Mathematical Inequalities 1 (2007), no. 4, 449–471.
      5. Vania Mascioni, A sufficient condition for the integral version of Martins’ inequality, Journal of Inequalities in Pure and Applied Mathematics 5 (2004), no. 2, Article 32; Available online at http://www.emis.de/journals/JIPAM/article382.html.
  26. Chao-Ping Chen, Ai-Qi Liu and Feng Qi, Proofs for the limit of ratios of consecutive terms in Fibonacci sequence, Cubo 5 (2003), no. 3, 23–30.
  27. Bai-Ni Guo, Wei Li, and Feng Qi, Proofs of Wilker’s inequalities involving trigonometric functions, The 7th International Conference on Nonlinear Functional Analysis and Applications, Chinju, South Korea, August 6-10, 2001; Inequality Theory and Applications, Volume 3, Yeol Je Cho, Jong Kyu Kim, and Sever S. Dragomir (Eds), Nova Science Publishers, Hauppauge, NY, ISBN 1-59033-866-9, 2003, pp. 109–112.
    • Cited by-被引用情况
      1. Shan-He Wu and H. M. Srivastava, A further refinement of Wilker’s inequality, Integral Transforms and Special Functions 19 (2008), no. 10, 757–765.
      2. Shan-He Wu and H. M. Srivastava, A weighted and exponential generalization of Wilker’s inequality and its applications, Integral Transforms and Special Functions 18 (2007), no. 8, 529–535.
  28. Bai-Ni Guo, Bao-Min Qiao, Feng Qi and Wei Li, On new proofs of Wilker’s inequalities involving trigonometric functions, Mathematical Inequalities & Applications 6 (2003), no. 1, 19–22; Available online at http://dx.doi.org/10.7153/mia-06-02.
    • Cited by-被引用情况
      1. Ling Zhu, A source of inequalities for circular functions, Computers and Mathematics with Applications 58 (2009), no. 10, 1998–2004; Available online at http://dx.doi.org/10.1016/j.camwa.2009.07.076.
      2. Edward Neuman, On Wilker and Huygens type inequalities, Mathematical Inequalities and Applications 14 (2011), in press.
      3. Cristinel Mortici, The natural approach of Wilker-Cusa-Huygens inequalities, Mathematical Inequalities and Applications, in press.
      4. Edward Neuman and József Sándor, On some inequalities involving trigonometric and hyperbolic functions with emphasis on the Cusa-Huygens, Wilker, and Huygens inequalities, Mathematical Inequalities and Applications 13 (2010), no. 4, 715–723.
      5. Ling Zhu, Some new Wilker type inequalities for circular and hyperbolic functions, Abstract and Applied Analysis 2009 (2009), Article ID 485842, 9 pages; Available online at http://dx.doi.org/10.1155/2009/485842.
      6. Shan-He Wu and H. M. Srivastava, A further refinement of Wilker’s inequality, Integral Transforms and Special Functions 19 (2008), no. 10, 757–765.
      7. Glen Anderson, Mavina Vamanamurthy and Matti Vuorinen, Monotonicity rules in calculus, American Mathematical Monthly 113 (2006), 805–816.
      8. Árpád Baricz and József Sándor, Extensions of the generalized Wilker inequality to Bessel functions, Journal of Mathematical Inequalities 2 (2008), no. 3, 397–406.
      9. Ling Zhu, On Wilker-type inequalities, Mathematical Inequalities and Applications 10 (2007), no. 4, 727–731.
      10. Shan-He Wu and H. M. Srivastava, A weighted and exponential generalization of Wilker’s inequality and its applications, Integral Transforms and Special Functions 18 (2007), no. 8, 529–535.
      11. Branko J. Malešević, One method for proving inequalities by computer, Journal of Inequalities and Applications 2007 (2007), Article ID 78691, 8 pages.
      12. Branko J. Malešević, One method for proving inequalities by computer, Available online at http://arxiv.org/abs/math/0608789.
      13. Iosif Pinelis, L’Hospital rules for monotonicity and the Wilker-Anglesio inequality, The American Mathematical Monthly 111 (2004), 905–909.
      14. Jiang Wei Dong and Hua Yun, Note on Wilker’s inequality and Huygens’s inequality, 不等式研究通讯 13 (2006), no. 1, 149–151.
      15. Lu Zhang and Ling Zhu, A new elementary proof of Wilker’s inequalities, Mathematical Inequalities and Applications 11 (2008), no. 1, 149–151.
      16. Ling Zhu, A new simple proof of Wilker’s inequality, Mathematical Inequalities and Applications 8 (2005), no. 4, 749–750.
  29. Qiu-Ming Luo, Bai-Ni Guo and Feng Qi, Evaluation of a class of improper integrals of the first kind, Mathematical Gazette 87 (2003), no. 510, 534–539; Available online at http://dx.doi.org/10.1017/S0025557200173863 and http://www.jstor.org/stable/3621303.
    • Cited by-被引用情况
      1. 杨梦龙，孙建设，雒秋明，一类无穷积分的计算公式，数学的实践与认识 35 (2005), no. 10, 207–212.
      2. 雒秋明，一类包含高阶Bernoulli数和高阶Euler数的积分计算公式，商丘师范学院学报 20 (2004), no. 5, 44–47.
      3. 雒秋明，朱青堂，一类包含高阶Bernoulli-Euler多项式的积分公式，河南科学 22 (2004), no. 5, 574–576.
  30. Qiu-Ming Luo, Bai-Ni Guo and Feng Qi, On evaluation of Riemann zeta function $\zeta(s)$, Advanced Studies in Contemporary Mathematics (Kyungshang) 7 (2003), no. 2, 135–144.
    • Cited by-被引用情况
      1. P. Cerone, Bounding Mathieu type series, RGMIA Research Report Collection 6 (2003), no. 3, Article 7; Available online at http://rgmia.org/v6n3.php.
  31. Qiu-Ming Luo, Bai-Ni Guo, Feng Qi and Lokenath Debnath, Generalizations of Bernoulli numbers and polynomials, International Journal of Mathematics and Mathematical Sciences 2003 (2003), no. 59, 3769–3776; Available online at http://dx.doi.org/10.1155/S0161171203112070.
    • Cited by-被引用情况
      1. Tie-Hong Zhao, Yu-Ming Chu and Yue-Ping Jiang, Monotonic and logarithmically convex properties of a function involving gamma functions, Journal of Inequalities and Applications 2009 (2009), Article ID 728612, 13 pages; Available online at http://dx.doi.org/10.1155/2009/728612.
      2. Dah-Yan Hwang and Gou-Sheng Yang, On sharp perturbed trapezoidal inequalities for the harmonic sequence of polynomials, Tamsui Oxford Journal of Mathematical Sciences 23 (2007), no. 2, 235–242.
      3. 杨梦龙，丁军猛，广义高阶Bernoulli和Euler多项式的关系，焦作大学学报，2006年第4期，68–69.
      4. 杨梦龙，李希臣，Apostol-Bernoulli多项式和Gauss超几何函数之间的关系，河南机电高等专科学校学报 14 (2006), no. 4, 109–110和128.
      5. 雒秋明，安春香，高阶Bernoulli数和高阶Euler数的关系，河南师范大学学报（自然科学版） 32 (2004), no. 2, 28–30.
      6. 雒秋明，李长青，高阶Euler数的推广及其应用，纯粹数学与应用数学 21 (2005), no. 4, 325–328.
      7. 雒秋明，付立志，Apostol-Bernoulli多项式和Hurwitz Zeta函数，商丘师范学院学报 21 (2005), no. 5, 32–35.
      8. 雒秋明，朱青堂，Euler多项式的推广及其应用，信阳师范学院学报（自然科学版） 18 (2005), no. 1, 13–15.
      9. 雒秋明，郭田芬，马韵新，高阶Bernoulli数和高阶Bernoulli多项式，河南科学 22 (2004), no. 3, 285–289.
  32. Qiu-Ming Luo, Zong-Li Wei and Feng Qi, Lower and upper bounds of $\zeta(3)$, Advanced Studies in Contemporary Mathematics (Kyungshang) 6 (2003), no. 1, 47–51.
    • Cited by-被引用情况
      • Ahmet Yaşar Özban, A new refined form of Jordan’s inequality and its applications, Applied Mathematics Letters 19 (2006), 155–160.
  33. Qi-Fa Zhou, Zhi-Qin Wu, Bai-Ni Guo and Feng Qi, Notes on a functional equation, Octogon Mathematical Magazine 11 (2003), no. 2, 507–510.
  34. 祁锋，浅谈数学不等式理论及其应用，焦作大学学报 17 (2003), no. 2, 59–64.
  35. 陈超平，祁锋，关于Mathieu级数上界的一个估计，高等数学研究 6 (2003), no.1, 48–49.
    • Cited by-被引用情况
      1. P. Cerone and C. T. Lenard, On integral forms of generalised Mathieu series, Journal of Inequalities in Pure and Applied Mathematics 4 (2003), no. 5, Article 100; Available online at http://www.emis.de/journals/JIPAM/article341.html.
  36. 雒秋明，郭田芬，祁锋，Bernoulli数和Euler数的关系，河南师范大学学报(自然科学版) 31 (2003), no. 2, 9–11.
    • Cited by-被引用情况
      1. 杨梦龙，李希臣，Apostol-Bernoulli多项式和Gauss超几何函数之间的关系，河南机电高等专科学校学报 14 (2006), no. 4, 109–110和128.
      2. 雒秋明，安春香，高阶Bernoulli数和高阶Euler数的关系，河南师范大学学报（自然科学版） 32 (2004), no. 2, 28–30.
      3. 雒秋明，李长青，高阶Euler数的推广及其应用，纯粹数学与应用数学 21 (2005), no. 4, 325–328.
      4. 雒秋明，付立志，Apostol-Bernoulli多项式和Hurwitz Zeta函数，商丘师范学院学报 21 (2005), no. 5, 32–35.
      5. 雒秋明，朱青堂，Euler多项式的推广及其应用，信阳师范学院学报（自然科学版） 18 (2005), no. 1, 13–15.
  37. 雒秋明，郑玉敏，祁锋，高阶Euler数和高阶Euler多项式，河南科学 21 (2003), no. 1, 1–6.
    • Cited by-被引用情况
      1. 杨梦龙，丁军猛，广义高阶Bernoulli和Euler多项式的关系，焦作大学学报，2006年第4期，68–69.
      2. 雒秋明，一类包含高阶Bernoulli数和高阶Euler数的积分计算公式，商丘师范学院学报 20 (2004), no. 5, 44–47.
      3. 雒秋明，朱青堂，一类包含高阶Bernoulli-Euler多项式的积分公式，河南科学 22 (2004), no. 5, 574–576.
      4. 郑玉敏，雒秋明，高阶Bernoulli数的递推公式，数学的实践与认识 33 (2003), no. 8, 116–119.
      5. 雒秋明，安春香，高阶Bernoulli数和高阶Euler数的关系，河南师范大学学报（自然科学版） 32 (2004), no. 2, 28–30.
      6. Qiu-Ming Luo, Euler polynomials of higher order involving the Stirling numbers of the second kind, Australian Mathematical Society Gazette 31 (2004), no. 3, 194–196.
      7. 雒秋明，郭田芬，马韵新，高阶Bernoulli数和高阶Bernoulli多项式，河南科学 22 (2004), no. 3, 285–289.

Eighteen preprints announced in 2003

2003年以预印本形式发表的18篇论文

  1. Feng Qi, Inequalities and monotonicity of the ratio for the geometric means of a positive arithmetic sequence with unit difference, RGMIA Research Report Collection 6 (2003), Supplement, Article 2; Available online at http://rgmia.org/v6(E).php.
  2. Feng Qi, Integral expression and inequalities of Mathieu type series, RGMIA Research Report Collection 6 (2003), no. 2, Article 10; Available online at http://rgmia.org/v6n2.php.
    • Cited by-被引用情况
      1. P. Cerone, Special functions approxiamations and bounds via integral representation, In: P. Cerone, S. S. Dragomir (Eds.), “Advances in Inequalities for Special Functions”, Nova Science Publishers, New York, 2008, 1–35.
  3. Feng Qi and Chao-Ping Chen, Monotonicity and convexity results for functions involving the gamma function, RGMIA Research Report Collection 6 (2003), no. 4, Article 10, 707–720; Available online at http://rgmia.org/v6n4.php.
    • Cited by-被引用情况
      1. Miao-Qing An, A note on an open problem, RGMIA Research Report Collection 12 (2009), no. 2, Article 13; Available online at http://rgmia.org/v12n2.php.
      2. Miao-Qing An, Logarithmically complete monotonicity and logarithmically absolute monotonicity properties for the gamma function, Communications in Mathematical Analysis 6 (2009), no. 2, 69–78.
      3. 张小明，褚玉明，解析不等式新论，哈尔滨工业大学出版社，哈尔滨，2009.
      4. Jian-She Sun, Monotonicity results and inequalities involving the gamma function, RGMIA Research Report Collection 7 (2004), no. 3, Article 14, 487–494; Available online at http://rgmia.org/v7n3.php.
  4. Feng Qi and Chao-Ping Chen, Monotonicity and inequalities for ratio of the generalized logarithmic means, RGMIA Research Report Collection 6 (2003), no. 2, Article 18, 333–339; Available online at http://rgmia.org/v6n2.php.
    • Cited by-被引用情况
      1. P. S. Bullen, Handbook of Means and Their Inequalities, Supplement, Mathematics and its Applications (Dordrecht) 560, Kluwer Academic Publishers, Dordrecht, 2004.
  5. Feng Qi and Bai-Ni Guo, Monotonicity and convexity of the function $\frac{\sqrt[x]{\Gamma(x+1)}}{\sqrt[x+\alpha]{\Gamma(x+\alpha+1)}}$, RGMIA Research Report Collection 6 (2003), no. 4, Article 16, 763–781; Available online at http://rgmia.org/v6n4.php.
  6. Feng Qi, Qiu-Ming Luo and Bai-Ni Guo, Darboux’s formula with integral remainder of functions with two independent variables, RGMIA Research Report Collection 6 (2003), no. 2, Article 4; Available online at http://rgmia.org/v6n2.php.
  7. Chao-Ping Chen and Feng Qi, A new proof of the best bounds in Wallis’ inequality, RGMIA Research Report Collection 6 (2003), no. 2, Article 2, 19–22; Available online at http://rgmia.org/v6n2.php.
    • Cited by-被引用情况
      • 赵岳清，吴庆栋，Wallis不等式的一个推广，浙江大学学报（理学版） 33 (2006), no. 2, 372–375.
      • Yueqing Zhao and Qingbiao Wu, Wallis inequality with a parameter, Journal of Inequalities in Pure and Applied Mathematics 7 (2006), no. 2, Article 56; Available online at http://www.emis.de/journals/JIPAM/article673.html.
      • Stamatis Koumandos, Remarks on a paper by Chao-Ping Chen and Feng Qi, Proceedings of the American Mathematical Society 134 (2006), 1365–1367.
  8. Chao-Ping Chen and Feng Qi, Inequalities of some trigonometric functions, RGMIA Research Report Collection 6 (2003), no. 3, Article 2, 419–429; Available online at http://rgmia.org/v6n3.php.
  9. Chao-Ping Chen and Feng Qi, Monotonicity properties and inequalities of functions related to means, RGMIA Research Report Collection 6 (2003), no. 4, Article 13, 735–741; Available online at http://rgmia.org/v6n4.php.
  10. Chao-Ping Chen and Feng Qi, The best bounds of harmonic sequence, Available online at http://arxiv.org/abs/math/0306233.
    • Cited by-被引用情况
      1. Maximilien Gadouleau and Zhiyuan Yan, Packing and covering properties of rank metric codes, Available online at http://arxiv.org/abs/cs/0701098.
      2. Maximilien Gadouleau and Zhiyuan Yan, Packing and covering properties of rank metric codes, IEEE Transactions on Information Theory 54 (2008), no. 9, 3873–3883.
      3. Mark B. Villarino, Ramanujan’s harmonic numbers expansion into negative powers of a triangular number, Journal of Inequalities in Pure and Applied Mathematics 9 (2008), no. 3, Article 89; Available online at http://www.emis.de/journals/JIPAM/article1026.html.
      4. Steve Kifowit and Terra Stamps, Serious about the harmonic series II, private communication.
      5. Donal F. Connon, Some series and integrals involving the Riemann zeta function, binomial coefficients and the harmonic numbers, Volume I, Available online at http://arxiv.org/abs/0710.4022.
      6. Donal F. Connon, Some series and integrals involving the Riemann zeta function, binomial coefficients and the harmonic numbers, Volume II(a), Available online at http://arxiv.org/abs/0710.4023.
      7. Donal F. Connon, Some series and integrals involving the Riemann zeta function, binomial coefficients and the harmonic numbers, Volume II(b), Available online at http://arxiv.org/abs/0710.4024.
      8. Donal F. Connon, Some series and integrals involving the Riemann zeta function, binomial coefficients and the harmonic numbers, Volume III, Available online at http://arxiv.org/abs/0710.4047/0710.4025.
      9. Donal F. Connon, Some series and integrals involving the Riemann zeta function, binomial coefficients and the harmonic numbers, Volume IV, Available online at http://arxiv.org/abs/0710.4047/0710.4028.
      10. Donal F. Connon, Some series and integrals involving the Riemann zeta function, binomial coefficients and the harmonic numbers, Volume V, Available online at http://arxiv.org/abs/0710.4047.
      11. Donal F. Connon, Some series and integrals involving the Riemann zeta function, binomial coefficients and the harmonic numbers, Volume VI, Available online at http://arxiv.org/abs/0710.4047/0710.4032.
      12. Yi (Richard) Sun and Tsunehiko (Tiko) Kameda, Harmonic block windows scheduling for Video-on-Demand, Available online at http://fas.sfu.ca/pub/cs/techreports/2005/CMPT2005-05.pdf.
      13. Mark B. Villarino, Ramanujan’s harmonic number expansion, Available online at http://arxiv.org/abs/math/0511335.
      14. Yi Sun and Tsunehiko Kameda, Harmonic block windows scheduling for VOD broadcasting, Available online at http://www.cs.sfu.ca/ tiko/publications/acmMM.pdf.
      15. Mark B. Villarino, Sharp bounds for the harmonic numbers, Available online at http://arxiv.org/abs/math/0510585.
  11. Chao-Ping Chen and Feng Qi, The best lower and upper bounds of harmonic sequence, RGMIA Research Report Collection 6 (2003), no. 2, Article 14, 303–308; Available online at http://rgmia.org/v6n2.php.
    • Cited by-被引用情况
      1. Cristinel Mortici and Andrei Vernescu, An improvement of the convergence speed of the sequence $(\gamma_n)_{n\ge1}$ converging to Euler’s constant, Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica 13 (2005), no. 1, 95–98.
      2. Mark B. Villarino, Ramanujan’s harmonic numbers expansion into negative powers of a triangular number, Journal of Inequalities in Pure and Applied Mathematics 9 (2008), no. 3, Article 89; Available online at http://www.emis.de/journals/JIPAM/article1026.html.
      3. Alina Sîntǎmǎrian, Some inequalities regarding a generalization of Euler’s constant, Journal of Inequalities in Pure and Applied Mathematics 9 (2008), no. 2, Article 46; Available online at http://www.emis.de/journals/JIPAM/article978.html.
  12. Sever S. Dragomir, Feng Qi, George Hanna and Pietro Cerone, New Taylor-like expansions for functions of two variables and estimates of their remainders, RGMIA Research Report Collection 6 (2003), no. 1, Article 1; Available online at http://rgmia.org/v6n1.php.
  13. Qiu-Ming Luo and Feng Qi, Evaluation of the improper integrals $\int_0^\infty\frac{\sin^{2m}(a x)}{x^{2n}}\cos(bx)dx$ and $\int_0^\infty\frac{\sin^{2m+1}(a x)}{x^{2n+1}}\cos(bx)dx$, RGMIA Research Report Collection 6 (2003), no. 1, Article 2; Available online at http://rgmia.org/v6n1.php.
  14. Qiu-Ming Luo, Feng Qi and Bai-Ni Guo, K. Petr’s formula of double integral and estimates of its remainder, RGMIA Research Report Collection 6 (2003), no. 2, Article 6; Available online at http://rgmia.org/v6n2.php.
  15. S. Mazouzi and Feng Qi, On an open problem by Feng Qi regarding an integral inequality, RGMIA Research Report Collection 6 (2003), no. 1, Article 6; Available online at http://rgmia.org/v6n1.php.
  16. Chao-Ping Chen, Jian-Wei Zhao and Feng Qi, Three inequalities involving hyperbolically trigonometric functions, RGMIA Research Report Collection 6 (2003), no. 3, Article 4, 437–443; Available online at http://rgmia.org/v6n3.php.
    • Cited by-被引用情况
      1. Árpád Baricz and Shanhe Wu, Sharp exponential Redheffer-type inequalities for Bessel functions, Publicationes Mathematicae Debrecen 74 (2009), no. 3-4, 257–278.
      2. Ling Zhu, Sharpening Redheffer-type inequalities for circular functions, Applied Mathematics Letters 22 (2009), no. 5, 743–748.
      3. Ling Zhu and Jinju Sun, Six new Redheffer-type inequalities for circular and hyperbolic functions, Computers and Mathematics with Applications 56 (2008), no. 2, 522–529; Available online at http://dx.doi.org/10.1016/j.camwa.2008.01.012.
      4. Árpád Baricz, Some inequalities involving generalized Bessel functions, Mathematical Inequalities and Applications 10 (2007), no. 4, 827–842.
      5. Árpád Baricz, Redheffer type inequality for Bessel functions, Journal of Inequalities in Pure and Applied Mathematics 8 (2007), no. 1, Article 11; Available online at http://www.emis.de/journals/JIPAM/article824.html.
      6. Shan-He Wu, On generalizations and refinements of Jordan type inequality, Octogon Mathematical Magazine 12 (2004), no. 1, 267–272.
      7. Shan-He Wu, On generalizations and refinements of Jordan type inequality, RGMIA Research Report Collection 7 (2004), Supplement, Article 2; Available online at http://rgmia.org/v7(E).php.
  17. Qiu-Ming Luo, Bai-Ni Guo and Feng Qi, On evaluation of Riemann zeta function $\zeta(s)$, RGMIA Research Report Collection 6 (2003), no. 1, Article 8; Available online at http://rgmia.org/v6n1.php.
  18. 祁锋，澳大利亚RGMIA介绍，不等式研究通讯 (2003), no. 2, 3–7; Available online at http://zgbdsyjxz.nease.net.

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