Some papers and preprints in 2002 by Dr. Prof. Feng Qi

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Some papers and preprints in 2002

Seven papers formally published in 2002

2002年正式发表的7篇论文

  1. Feng Qi, Logarithmic convexity of extended mean values, Proceedings of the American Mathematical Society 130 (2002), no. 6, 1787–1796.
    • Cited by-被引用情况
      1. Zhen-Hang Yang, The log-convexity of another class of one-parameter means and its applications, Bulletin of the Korean Mathematical Society 49 (2012), no. 1, 33–47; Available online at http://dx.doi.org/10.4134/BKMS.2012.49.1.033.
      2. Zhen-Hang Yang, Log-convexity of ratio of the two-parameter symmetric homogeneous functions and an application, Journal of Inequalities and Special Functions 1 (2010), no. 1, 16–29.
      3. Slavko Simić, An extension of Stolarsky means, Novi Sad Journal of Mathematics 38 (2008), no. 3, 81–89.
      4. Slavko Simić, An extension of Stolarsky means to the multivariable case, International Journal of Mathematics and Mathematical Sciences 2009 (2009), Article ID 432857, 14 pages; Available online at http://dx.doi.org/10.1155/2009/432857.
      5. Chao-Ping Chen, Asymptotic representations for Stolarsky, Gini and the generalized Muirhead means, RGMIA Research Report Collection 11 (2008), no. 4, Article 7; Available online at http://rgmia.org/v11n4.php.
      6. 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.
      7. 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.
      8. Zhen-Hang Yang, On the monotonicity and log-convexity of a four-parameter homogeneous mean, Journal of Inequalities and Applications 2008 (2008), Article ID 149286, 12 pages; Available online at http://dx.doi.org/10.1155/2008/149286.
      9. Zhen-Hang Yang, On the log-convexity of two-parameter homogeneous functions, Mathematical Inequalities and Applications 10 (2007), no. 3, 499–516.
      10. Ákos Császár, Zoltán Daróczy, Imre Kátai and András Prékopa, A recommendation of Prof. and Dr. Zsolt Pales for the corresponding membership of the Hungarian Academy of Sciences. (Hungarian)
      11. 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.
      12. Ai-Jun Li, Xue-Min Wang and Chao-Ping Chen, Generalizations of the Ky Fan inequality, Journal of Inequalities in Pure and Applied Mathematics 7 (2006), no. 4, Article 130; Available online at http://www.emis.de/journals/JIPAM/article747.html.
      13. Zhen-Hang Yang, On the homogeneous functions with two parameters and its monotonicity, Journal of Inequalities in Pure and Applied Mathematics 6 (2005), no. 4, Article 101; Available online at http://www.emis.de/journals/JIPAM/article575.html.
      14. Zhi-Hua Zhang and Yu-Dong Wu, The generalized Heron mean and its dual form, Applied Mathematics E-Notes 5 (2005), 16–23
      15. P. S. Bullen, Handbook of Means and Their Inequalities, Mathematics and its Applications, Volume 560, page 393 and 396, Kluwer Academic Publishers, 2003.
      16. Zhi-Hua Zhang, Yu-Dong Wu and An-Ping Zhao, The properties of the generalized heron mean and its dual form, RGMIA Research Report Collection 7 (2004), no. 2, Article 1; Available online at http://rgmia.org/v7n2.php.
      17. Zhen-Hang Yang, On the logarithmically convexity for two-parameters homogeneous functions, RGMIA Research Report Collection 8 (2005), no. 2, Article 21; Available online at http://rgmia.org/v8n2.php.
      18. Zhen-Hang Yang, On the monotonicity and log-convexity for one-parameter homogeneous functions, RGMIA Research Report Collection 8 (2005), no. 2, Article 14; Available online at http://rgmia.org/v8n2.php.
      19. Zhen-Hang Yang, On the homogeneous functions with two parameters and its monotonicity, RGMIA Research Report Collection 8 (2005), no. 2, Article 10; Available online at http://rgmia.org/v8n2.php.
      20. Peng Gao, Some monotonicity properties of the $q$-gamma function, RGMIA Research Report Collection 8 (2005), no. 3, Article 4; Available online at http://rgmia.org/v8n3.php.
      21. Edward Neuman and József Sándor, On certain means of two arguments and their extensions, International Journal of Mathematics and Mathematical Sciences 2003 (2003), no. 16, 981–993.
    • Awarded by-获奖情况
      1. 2006年6月获河南省第9届自然科学论文一等奖。
  2. Feng Qi, Monotonicity results and inequalities for the gamma and incomplete gamma functions, Mathematical Inequalities and Applications 5 (2002), no. 1, 61–67.
    • 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. 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.
      3. 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.
      4. Tomislav Burić and Neven Elezović, Some completely monotonic functions related to the psi function, Mathematical Inequalities and Applications 14 (2011), no. 3, 679–691.
      5. Vasilios M. Kapinas, Sotirios K. Mihos and George K. Karagiannidis, On the monotonicity of the generalized Marcum and Nuttall $Q$-functions, Available online at http://arxiv.org/abs/0712.4103.
      6. Arcadii Z. Grinshpan, Weighted integral and integro-differential inequalities, Advances in Applied Mathematics 41 (2008), 227–246.
      7. Edward Furman and Ričardas Zitikis, A monotonicity property of the composition of regularized and inverted-regularized gamma functions with applications, Journal of Mathematical Analysis and Applications 348 (2008), no. 2, 971–976.
      8. Edward Furman and Ričardas Zitikis, Monotonicity of ratios involving incomplete gamma functions with actuarial applications, Journal of Inequalities in Pure and Applied Mathematics 9 (2008), no. 3, Article 61; Available online at http://www.emis.de/journals/JIPAM/article999.html.
      9. Jonathan M. Borwein and O-Yeat Chan, Uniform bounds for the complementary incomplete gamma function, Mathematical Inequalities and Applications 12 (2009), no. 1, 115–121.
      10. S. A. Husain and R. S. Anderssen, Modelling the relaxation modulus of linear viscoelasticity using Kohlrausch functions, Journal of Non-Newtonian Fluid Mechanics 125 (2005), no. 2-3, 159–170.
      11. 张小明，石焕南，二个Gautschi型不等式及其应用，不等式研究通讯 14 (2007), no. 2, 179–191.
      12. 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.
      13. 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.
      14. Xiao-Ming Zhang, Tie-Quan Xu and Ling-Bo Situ, Geometric convexity of a function involving gamma function and applications to inequality theory, Journal of Inequalities in Pure and Applied Mathematics 8 (2007), no. 1, Article 17; Available online at http://www.emis.de/journals/JIPAM/article830.html.
      15. Saiful A. Husain and R. S. Anderssen, Algorithms for the recovery of Kohlrausch parameters from viscoelastic stree-strain date, The Australian & New Zealand Industrial and Applied Mathematics Journal 46 (E) (2005), C935–C955; Available online at http://anziamj.austms.org.au/V46/CTAC2004/Husa/home.html.
      16. 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.
      17. P. S. Bullen, Handbook of Means and Their Inequalities, Mathematics and its Applications, Volume 560, page 397, Kluwer Academic Publishers, 2003.
  3. Feng Qi and Bai-Ni Guo, On Steffensen pairs, Journal of Mathematical Analysis and Applications 271(2002), no. 2, 534–541.
    • Cited by-被引用情况
      1. Shan-He Wu and H. M. Srivastava, Some improvements and generalizations of Steffensen’s integral inequality, Applied Mathematics and Computation 192 (2007), 422–428.
      2. 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.
      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 Ying-Jie Zhang, Inequalities for a weighted integral, Advanced Studies in Contemporary Mathematics (Kyungshang) 4 (2002), no. 2, 93–101.
  5. Bai-Ni Guo and Feng Qi, An inductive proof for an identity involving $\binom{n}{k}$ and the partial sums of some series, International Journal of Mathematical Education in Science and Technology 33 (2002), no. 2, 249–253.
  6. Bai-Ni Guo and Feng Qi, Generalization of Bernoulli polynomials, International Journal of Mathematical Education in Science and Technology 33 (2002), no. 3, 428–431.
    • 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.
  7. 陈超平，祁锋，关于Wilker不等式的两个新的证明，高等数学研究 5 (2002), no. 4, 38–39.
    • Cited by-被引用情况
      1. 郭要红，Wilker不等式的两个新证明，高等数学研究 9 (2006), no. 4, 79.
      2. 吴永锋，徐小松，关于Wilker不等式的简证与加强，铜陵学院学报 5 (2006), no. 2, 72–88.
      3. 孙建设，含三角函数的Wilker不等式的两个简单证明，高等数学研究 7 (2004), no. 4, 43.
      4. 杨仕椿，关于Wilker不等式的一个加强，阿坝师范高等专科学校学报 (2003), no. 3, 104–105.

Fifteen preprints announced in 2002

2002年以预印本形式发表的15篇论文

  1. Feng Qi, On a new generalization of Martins’ inequality, RGMIA Research Report Collection 5 (2002), no. 3, Article 13, 527–538; Available online at http://rgmia.org/v5n3.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. Feng Qi, The extended mean values: Definition, properties, monotonicities, comparison, convexities, generalizations, and applications, RGMIA Research Report Collection 5 (2002), no. 1, Article 5, 57–80; Available online at http://rgmia.org/v5n1.php.
    • Cited by-被引用情况
      1. P. S. Bullen, Handbook of Means and Their Inequalities, Mathematics and its Applications, Volume 560, page 393, Kluwer Academic Publishers, 2003.
  3. Feng Qi, Pietro Cerone and Sever S. Dragomir, Some new Iyengar type inequalities, RGMIA Research Report Collection 5 (2002), no. 2, Article 3, 237–252; Available online at http://rgmia.org/v5n2.php.
  4. Feng Qi and Bai-Ni Guo, Monotonicity of sequences involving geometric means of positive sequences with logarithmical convexity, RGMIA Research Report Collection 5 (2002), no. 3, Article 10, 497–507; Available online at http://rgmia.org/v5n3.php.
  5. Feng Qi, Bai-Ni Guo and Chao-Ping Chen, A lower bound for ratio of power means, RGMIA Research Report Collection 5 (2002), no. 4, Article 2, 575–579; Available online at http://rgmia.org/v5n4.php.
  6. Feng Qi, József Sándor, Sever S. Dragomir and Anthony Sofo, Notes on the Schur-convexity of the extended mean values, RGMIA Research Report Collection 5 (2002), no. 1, Article 3, 19–27; Available online at http://rgmia.org/v5n1.php.
    • Cited by-被引用情况
      1. Huan-Nan Shi and Shan-He Wu, Refinement of an inequality for the generalized logarithmic mean, RGMIA Research Report Collection 10 (2007), no. 1, Article 13; Available online at http://rgmia.org/v10n1.php.
      2. P. S. Bullen, Handbook of Means and Their Inequalities, Mathematics and its Applications, Volume 560, page 388, Kluwer Academic Publishers, 2003.
  7. Feng Qi, Zong-Li Wei and Qiao Yang, Generalizations and refinements of Hermite-Hadamard’s inequality, RGMIA Research Report Collection 5 (2002), no. 2, Article 10, 337–349; Available online at http://rgmia.org/v5n2.php.
  8. Chao-Ping Chen and Feng Qi, A double inequality for remainder of power series of tangent function, RGMIA Research Report Collection 5 (2002), Supplement, Article 2; Available online at http://rgmia.org/v5(E).php.
  9. Chao-Ping Chen and Feng Qi, Improvement of lower bound in Wallis’ inequality, RGMIA Research Report Collection 5 (2002), Supplement, Article 23; Available online at http://rgmia.org/v5(E).php.
    • Cited by-被引用情况
      1. Jian-She Sun and Chang-Ming Qu, Alternative proof of the best bounds of Wallis’ inequality, Communications in Mathematical Analysis 2 (2007), no. 1, 23–27.
      2. Stamatis Koumandos, Remarks on a paper by Chao-Ping Chen and Feng Qi, Proceedings of the American Mathematical Society 134 (2006), 1365–1367.
  10. Chao-Ping Chen and Feng Qi, Monotonicity results for the gamma function, RGMIA Research Report Collection 5 (2002), Supplement, Article 16; Available online at http://rgmia.org/v5(E).php.
  11. Chao-Ping Chen and Feng Qi, The best bounds in Wallis’ inequality, RGMIA Research Report Collection 5 (2002), no. 4, Article 13, 709–712; Available online at http://rgmia.org/v5n4.php.
  12. Chao-Ping Chen, Feng Qi, Pietro Cerone and Sever S. Dragomir, Monotonicity of sequences involving convex and concave functions, RGMIA Research Report Collection 5 (2002), no. 1, Article 1, 3–13; Available online at http://rgmia.org/v5n1.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. 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.
  13. Qiu-Ming Luo and Feng Qi, Generalizations of Euler numbers and polynomials, RGMIA Research Report Collection 5 (2002), Supplement, Article 4; Available online at http://rgmia.org/v5(E).php.
  14. Qiu-Ming Luo and Feng Qi, Relationships between generalized Bernoulli numbers and polynomials and generalized Euler numbers and polynomials, RGMIA Research Report Collection 5 (2002), no. 3, Article 1, 405–412; Available online at http://rgmia.org/v5n3.php.
  15. Qiu-Ming Luo, Bai-Ni Guo and Feng Qi, Generalizations of Bernoulli’s numbers and polynomials, RGMIA Research Report Collection 5 (2002), no. 2, Article 12, 353–359; Available online at http://rgmia.org/v5n2.php.

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