Some papers and preprints in 2001 by Dr. Prof. Feng Qi

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Some papers and preprints in 2001

Seven papers formally published in 2001

2001年正式发表的7篇论文

  1. Feng Qi, An algebraic inequality, Journal of Inequalities in Pure and Applied Mathematics 2 (2001), no. 1, Article 13; Available online at http://www.emis.de/journals/JIPAM/article129.html.
    • 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. 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.
      3. 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.
      4. 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.
      5. 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.
      6. Grahame Bennett, Meaningful inequalities, Journal of Mathematical Inequalities 1 (2007), no. 4, 449–471.
      7. 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.
      8. Jian-She Sun, On an open problem for an algebraic inequality, Communications in Mathematical Analysis 1 (2006), no. 1, 41–45.
      9. Jian-She Sun, 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.
      10. Jian-She Sun, Sequence inequalities for the logarithmic convex (concave) function, Communications in Mathematical Analysis 1 (2006), no. 1, 6–11.
      11. 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 for a weighted multiple integral, Journal of Mathematical Analysis and Applications 253 (2001), no. 2, 381–388; Available online at http://dx.doi.org/10.1006/jmaa.2000.7138.
    • Cited by-被引用情况
      1. George Hanna and John Roumeliotis, Weighted integral inequalities in two dimensions, Journal of Concrete and Applicable Mathematics 3 (2005), no. 4, 389–403.
      2. 匡继昌，一般不等式研究在中国的新进展，北京联合大学学报（自然科学版）19 (2005), no. 1, 33–41.
      3. 匡继昌，常用不等式, 第三版，山东科学技术出版社，2004年，第561页。
  3. Feng Qi, Jun-Xiang Cheng, and Gang Wang, New Steffensen pairs, The 6th International Conference on Nonlinear Functional Analysis and Applications,Chinju, South Korea, September 1-5, 2000; Inequality Theory and Applications, Volume 1,Yeol Je Cho,Jong Kyu Kim, and Sever S.Dragomir (Eds), Nova Science Publishers, Hauppauge, NY, ISBN 1-59033-188-5, 2001, pp. 273–279.
    • Cited by-被引用情况
      1. Huan-Nan Shi and Shan-He Wu, Majorized proof and improvement of the discrete Steffensen’s inequality, Taiwanese Journal of Mathematics 11 (2007), no. 4, 1203–1208.
      2. Huan-Nan Shi and Shan-He Wu, Majorized proof and improvement of the discrete Steffensen’s inequality, RGMIA Research Report Collection 10 (2007), no. 2, Article 4; Available online at http://rgmia.org/v10n2.php.
      3. Zheng Liu, A simple proof of the discrete Steffensen’s inequality, Tamkang Journal of Mathematics 35 (2004), no. 4, 281–283.
  4. Feng Qi and Lokenath Debnath, Evaluation of a class of definite integrals, International Journal of Mathematical Education in Science and Technology 32 (2001), no. 4, 629–633; Available online at http://dx.doi.org/10.1080/00207390116734.
  5. Bai-Ni Guo and Feng Qi, Inequalities for generalized weighted mean values of convex function, Mathematical Inequalities and Applications 4(2001), no. 2, 195–202.
    • Cited by-被引用情况
      1. Ulrich Abel and Mircea Ivan, A complete asymptotic expansion of power means, Journal of Mathematical Analysis and Applications 325 (2007), 554–559.
      2. 王良成，双加权广义抽象平均值及其不等式，四川大学学报自然科学版2003年第40卷第4期618–621页。
      3. Zhen-Gang Xiao, Zhi-Hua Zhang, V. Lokesha and Rong Tang, Two-parameters the mean of $n$ variables, International Review of Pure and Applied Mathematics 1 (2005), no. 1, 93–111.
      4. Zhen-Gang Xiao, Zhi-Hua Zhang, V. Lokesha and K. M. Nagaraja, Two-parameter generalized weighted functional mean, RGMIA Research Report Collection 9 (2006), no. 1, Article 13, 131–140; Available online at http://rgmia.org/v9n1.php.
      5. 郭白妮，凸函数的双参数平均不等式的新证明，工科数学 18 (2002), no. 5, 75–78.
      6. P. S. Bullen, Handbook of Means and Their Inequalities, Mathematics and its Applications, Volume 560, pages xv, 386, 395 and 401, Kluwer Academic Publishers, 2003.
      7. Liang-Cheng Wang, Li-Hong Liu and Xiu-Fen Ma, Three mappings related to Chebyshev-type inequalities, Journal of Inequalities in Pure and Applied Mathematics 9 (2008), no. 4, Article 113; Available online at http://www.emis.de/journals/JIPAM/article1048.html.
      8. Sever S. Dragomir and Charles E. M. Pearce, Selected Topics on Hermite-Hadamard Type Inequalities and Applications, RGMIA Monographs, Victoria University, 2000; Available online at http://rgmia.org/monographs/hermite_hadamard.html.
      9. Liang-Cheng Wang and Jia-Gui Luo, On certain inequalities related to the Seitz inequality, Journal of Inequalities in Pure and Applied Mathematics 5 (2004), no. 2, Article 39; Available online at http://www.emis.de/journals/JIPAM/article391.html.
      10. 王良成，由Chebyshev型不等式生成的差的单调性，四川大学学报(自然科学版) 39 (2002), no. 3, 398–403.
  6. Liu-Qing Han, Bai-Ni Guo and Feng Qi, New proofs for inequalities of power-exponential functions, Mathematics and Informatics Quarterly 11(2001), no. 3, 130–132.
    • Cited by-被引用情况
      1. Ladislav Matejíčka, On an open problem posed in the paper “Inequalities of power-exponential functions”, Journal of Inequalities in Pure and Applied Mathematics 9 (2008), no. 3, Article 75; Available online at http://www.emis.de/journals/JIPAM/article1012.html.
  7. 郭白妮，祁锋，双参数广义加权平均值及其单调性，数学研究与评论 21(2001), no. 1, 105–111.
    • Cited by-被引用情况
      1. 曹丹丹，杨士俊，关于一些平均值的研究，杭州师范学院学报（自然科学版） 4 (2005), no. 5, 356–359.
      2. 杨镇杭，积分中值定理中间点比较及有关平均不等式，数学的实践与认识 35 (2005), no. 5, 194–201.
      3. 郭白妮，凸函数的双参数平均不等式的新证明，工科数学 18 (2002), no. 5, 75–78.
      4. 王良成，由Chebyshev型不等式生成的差的单调性，四川大学学报(自然科学版) 39 (2002), no. 3, 398–403.

Eleven preprints announced in 2001

2001年以预印本形式发表的11篇论文

  1. Feng Qi, Inequalities for Mathieu’s series, RGMIA Research Report Collection 4 (2001), no. 2, Article 3, 187–193; Available online at http://rgmia.org/v4n2.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.
      2. Tibor K. Pogány, Živorad Tomovski, On Mathieu-type series whose terms contain generalized hypergeometric function ${}_pF_q$ and Meijer’s $G$-function, Mathematical and Computer Modelling 47 (2008), no. 9-10, 952–969.
      3. P. Cerone, Bounding Mathieu type series, RGMIA Research Report Collection 6 (2003), no. 3, Article 7; Available online at http://rgmia.org/v6n3.php.
      4. Tibor K. Pogány, Živorad Tomovski, On multiple generalized Mathieu series, Integral Transforms and Special Functions 17 (2006), no. 4, 285–293.
      5. Tibor K. Pogány, H. M. Srivastava and Živorad Tomovski, Some families of Mathieu $\mathbf{a}$-series and alternating Mathieu $\mathbf{a}$-series, Applied Mathematics and Computation 173 (2006), 69–108.
      6. Tibor K. Pogány, Integral representation of Mathieu $(\mathbf{a,\mathbf{\lambda})$-series, Integral Transforms and Special Functions 16 (2005), no. 8, 685–689.
      7. Biserka Draščić and Tibor K. Pogány, On integral representation of Bessel function of the first kind, Journal of Mathematical Analysis and Applications 308 (2005), no. 2, 775–780.
      8. B. Draščić and T. K. Pogány, On integral representation of first kind Bessel function, RGMIA Research Report Collection 7 (2004), no. 3, Article 18; Available online at http://rgmia.org/v7n3.php.
      9. B. Draščić and T. K. Pogány, Testing Alzer’s inequality for Mathieu series $S(r)$, Mathematica Macedonica 2 (2004), 1–4.
      10. H. M. Srivastava and Živorad Tomovski, Some problems and solutions involving Mathieu’s series and its generalizations, Journal of Inequalities in Pure and Applied Mathematics 5 (2004), no. 2, Article 45; Available online at http://www.emis.de/journals/JIPAM/article380.html.
      11. Živorad Tomovski, New double inequalities for Mathieu type series, Univerzitet u Beogradu Publikacije Elektrotehničkog Fakulteta, Serija: Matematika 15 (2004), 80–84.
      12. I. Gavrea, Some remarks on Mathieu’s series, Mathematical Analysis and Approximation Theory, 113–117, Burg Verlag, 2002.
      13. Živorad Tomovski and Kostadin Trenčevski, On an open problem of Bai-Ni Guo and Feng Qi, Journal of Inequalities in Pure and Applied Mathematics 4 (2003), no. 2, Article 29; Available online at http://www.emis.de/journals/JIPAM/article267.html.
      14. 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.
      15. P. Cerone and C. T. Lenard, On integral forms of generalised Mathieu series, RGMIA Research Report Collection 6 (2003), no. 2, Article 19; Available online at http://rgmia.org/v6n2.php.
      16. Tibor K. Pogány, Integral representation of a series which includes the Mathieu $\mathbf{a}$-series, Journal of Mathematical Analysis and Applications 296 (2004), no. 1, 309–313.
      17. Živorad Tomovski, New double inequalities for Mathieu type series, RGMIA Research Report Collection 6 (2003), no. 2, Article 17; Available online at http://rgmia.org/v6n2.php.
      18. Tibor K. Pogány, Integral representation of Mathieu $(\mathbf{a,\mathbf{\lambda})$-series, RGMIA Research Report Collection 7 (2004), no. 1, Article 9; Available online at http://rgmia.org/v7n1.php.
      19. 刘爱启，胡廷峰，李伟，关于Mathieu级数不等式，焦作工学院学报 20 (2001), no. 4, 302–304.
  2. Feng Qi, Schur-convexity of the extended mean values, RGMIA Research Report Collection 4 (2001), no. 4, Article 4, 529–533; Available online at http://rgmia.org/v4n4.php.
  3. Feng Qi and Bai-Ni Guo, Generalisation of Bernoulli polynomials, RGMIA Research Report Collection 4 (2001), no. 4, Article 10, 691–695; Available online at http://rgmia.org/v4n4.php.
    • Cited by-被引用情况
      1. 刘爱启，王刚，李伟，含有三角函数的Wilker不等式的新证明，焦作工学院学报（自然科学版） 21 (2002), no. 5, 401–403.
  4. Feng Qi and Bai-Ni Guo, Some inequalities involving the geometric mean of natural numbers and the ratio of gamma functions, RGMIA Research Report Collection 4 (2001), no. 1, Article 6, 41–48; Available online at http://rgmia.org/v4n1.php.
    • 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. 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.
  5. Bai-Ni Guo and Feng Qi, An algebraic inequality, II, RGMIA Research Report Collection 4 (2001), no. 1, Article 8, 55–61; Available online at http://rgmia.org/v4n1.php.
    • 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. Cristinel Mortici, New sharp inequalities for approximating the factorial function and the digamma function, Miskolc Mathematical Notes 11 (2010), no. 1, 79–86.
      3. 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.
      4. 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.
      5. 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.
      6. Jian-She Sun, On an open problem for an algebraic inequality, Communications in Mathematical Analysis 1 (2006), no. 1, 41–45.
      7. 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.
      8. 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.
  6. Qiu-Ming Luo, Feng Qi, Neil S. Barnett and Sever S. Dragomir, Inequalities involving the sequence $\sqrt[3]{a+\sqrt[3]{a+\dotsm+\sqrt[3]{a}}}\,$, RGMIA Research Report Collection 4 (2001), no. 4, Article 12, 641–647; Available online at http://rgmia.org/v4n4.php.
    • Cited by-被引用情况
      1. S. M. Didukh and E. L. Pekarev, On the convergence of a sequence, RGMIA Research Report Collection 5 (2002), no. 3, Article 3; Available online at http://rgmia.org/v5n3.php.
      2. RGMIA, Research Group in Mathematical Inequalities and Applications Report 1-September-2001 to 31-December-2003, School of Computer Science and Mathematics, Faculty of Science Engineering & Technology, Victoria University of Technology, page 54; Available online at http://rgmia.org/report-web.pdf.
  7. Nasser Towghi and Feng Qi, An inequality for the ratios of the arithmetic means of functions with a positive parameter, RGMIA Research Report Collection 4 (2001), no. 2, Article 15, 305–309; Available online at http://rgmia.org/v4n2.php.
  8. Kit-Wing Yu and Feng Qi, A short note on an integral inequality, RGMIA Research Report Collection 4 (2001), no. 1, Article 4, 23–25; Available online at http://rgmia.org/v4n1.php.
    • 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, New inequalities of Qi type, Journal of Mathematics and System Science 1 (2011), no. 1, 1–7.
      3. Jian-She Sun and Yan-Zhi Wu, Note on an open problem of inequality, College Mathematics (Daxue Shuxue) 24 (2008), no. 1, 126–128.
      4. Xinkuan Chai and Hongxia Du, Several discrete inequalities, International Journal of Mathematical Analysis 4 (2010), no. 33-36, 1645–1649.
      5. Hamzeh Agahi and M. A. Yaghoobi, A Feng Qi type inequality for Sugeno integral, Fuzzy Information and Engineering 2 (2010), no. 3, 293–304; Available online at http://dx.doi.org/10.1007/s12543-010-0051-8.
      6. Wenjun Liu, Quôc-Anh Ngô and Vu Nhat Huy, Several interesting integral inequalities, Journal of Mathematical Inequalities 3 (2009), no. 2, 201–212.
      7. Yu Miao and Juan-Fang Liu, Discrete results of Qi-type inequality, Bulletin of the Korean Mathematical Society 46 (2009), no. 1, 125–134.
      8. Yong Hong, A note on Feng Qi type integral inequalities, International Journal of Mathematical Analysis 1 (2007), no. 25-28, 1243–1247.
      9. 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.
      10. 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.
      11. 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.
      12. Mohamed Akkouchi, On an integral inequality of Feng Qi, Divulgaciones Matemáticas 13 (2005), no. 1, 11–19.
      13. Villö Csiszár and Tamás F. Móri, The convexity method of proving moment-type inequalities, Statistics and Probability Letters 66 (2004), no. 3, 303–313.
      14. 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.
      15. J. 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.
      16. J. 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.
      17. Tibor K. Pogány, On an open problem of F. Qi, Journal of Inequalities in Pure and Applied Mathematics 3 (2002), no. 4, Article 54; Available online at http://www.emis.de/journals/JIPAM/article206.html.
      18. Lazhar Bougoffa, Notes on Qi type integral inequalities, Journal of Inequalities in Pure and Applied Mathematics 44 (2003), no. 4, Article 77; Available online at http://www.emis.de/journals/JIPAM/article318.html.
  9. Tsz Ho Chan, Peng Gao and Feng Qi, On a generalization of Martins’ inequality, RGMIA Research Report Collection 4 (2001), no. 1, Article 12, 93–101; Available online at http://rgmia.org/v4n1.php.
    • 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. P. S. Bullen, Handbook of Means and Their Inequalities, Mathematics and its Applications, Volume 560, page 263, Kluwer Academic Publishers, 2003.
      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.
  10. Liu-Qing Han, Bai-Ni Guo, and Feng Qi, New proofs for inequalities of power-exponential functions, RGMIA Research Report Collection 4 (2001), no. 1, Article 2, 9–13; Available online at http://rgmia.org/v4n1.php.
  11. Qiu-Ming Luo, Zong-Li Wei, and Feng Qi, Lower and upper bounds of $\zeta(3)$, RGMIA Research Report Collection 4 (2001), no. 4, Article 7, 565–569; Available online at http://rgmia.org/v4n4.php.
    • Cited by-被引用情况
      1. Ravi P. Agarwal, Young-Ho Kim and S. K. Sen, A new refined Jordan’s inequality and its application, Mathematical Inequalities Applications 12 (2009), no. 2, 255–264.

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