Some papers published in 1998 by Dr. Prof. Feng Qi

Some papers published in 1998

1. Feng Qi, Generalized weighted mean values with two parameters, Proceedings of the Royal Society of London Series A—Mathematical, Physical and Engineering Sciences 454 (1998), no. 1978, 2723–2732; Available online at http://dx.doi.org/10.1098/rspa.1998.0277.
   • 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.
     2. V. Lokesha, Zhi-Gang Wang, Zhi-Hua Zhang and S. Padmanabhan, The Stolarsky type functions and their monotonicities, Hacettepe Journal of Mathematics and Statistics 38 (2009), no. 2, 119–128.
     3. Christian Krattenthaler and Paul B. Slater, Asymptotic redundancies for universal quantum coding, Available online at http://arxiv.org/abs/quant-ph/9612043.
     4. Th. M. Rassias and Y. H. Kim, On certain mean value theorems, Mathematical Inequalities and Applications 11 (2008), no. 3, 431–441.
     5. 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。
     6. Zhen-Hang Yang, On the log-convexity of two-parameter homogeneous functions, Mathematical Inequalities and Applications 10 (2007), no. 3, 499–516.
     7. Liang-Cheng Wang and Cai-Liang Li, On some new mean value inequalities, Journal of Inequalities in Pure and Applied Mathematics 8 (2007), no. 3, Article 87; Available online at http://www.emis.de/journals/JIPAM/article888.html.
     8. 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)
     9. 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.
     10. 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.
     11. Alfred Witkowski, Convexity of weighted Stolarsky means, Journal of Inequalities in Pure and Applied Mathematics 7 (2006), no. 2, Article 73; Available online at http://www.emis.de/journals/JIPAM/article690.html.
     12. 匡继昌，常用不等式，第三版，山东科学技术出版社，2004年，第45页。
     13. 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.
     14. 林永伟，王爱芹，杨士俊，某些平均值不等式的注记，杭州师范学院学报（自然科学版）2 (2003), no. 1, 26–29.
     15. Dumitru Acu, Some inequalities for certain means in two arguments, General Mathematics 9 (2001), no. 1-2, 11–14.
     16. 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.
     17. 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.
     18. Mingbao Sun and Xiaoping Yang, Inequalities for the weighted mean of $r$-convex functions, Proceedings of the American Mathematical Society 133 (2005), no. 6, 1639–1646; Available online at http://www.ams.org/proc/2005-133-06/S0002-9939-05-07835-4/home.html.
     19. P. S. Bullen, Handbook of Means and Their Inequalities, Mathematics and its Applications, Volume 560, page 395, Kluwer Academic Publishers, 2003.
     20. 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.
     21. 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.
     22. X. Li and R. N. Mohapatra, Extended means as weighted means, Proceedings of the Royal Society of London Series A—Mathematical, Physical and Engineering Sciences 457 (2001), no. 2009, 1273–1275.
     23. P. B. Slater, Hall normalization constants for the Bures volumes of the $n$-state quantum systems, Journal of Physics, Series A—Mathematical and General 32 (1999), no. 47, 8231–8246.
     24. P. B. Slater, A priori probabilities of separable quantum states, Journal of Physics, Series A—Mathematical and General 32 (1999), no. 28, 5261–5275.
     25. C. Krattenthaler and P. B. Slater, Asymptotic redundancies for universal quantum coding, IEEE Transactions on Information Theory 46 (2000), no. 3, 801–819.
     26. 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.
     27. 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.
     28. Alfred Witkowski, Monotonicity of generalized weighted mean values, Colloquium Mathematicum 99 (2004), no. 2, 203–206.
     29. Alfred Witkowski, Monotonicity of generalized weighted mean values, RGMIA Research Report Collection 7 (2004), no. 1, Article 12; Available online at http:/rgmia.org/v7n1.php.
     30. Alfred Witkowski, Weighted extended mean values, Colloquium Mathematicum 100 (2004), no. 1, 111–117.
     31. Alfred Witkowski, Weighted extended mean values, RGMIA Research Report Collection 7 (2004), no. 1, Article 6; Available online at http:/rgmia.org/v7n1.php.
     32. 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.
     33. Alfred Witkowski, Convexity of weighted extended mean values, RGMIA Research Report Collection 7 (2004), no. 2, Article 10; Available online at http://rgmia.org/v7n2.php.
2. Feng Qi, On a two-parameter family of nonhomogeneous mean values, Tamkang Journal of Mathematics 29(1998), no. 2, 155–163; available online at https://doi.org/10.5556/j.tkjm.29.1998.4288.
   • 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. V. Lokesha, Zhi-Gang Wang, Zhi-Hua Zhang and S. Padmanabhan, The Stolarsky type functions and their monotonicities, Hacettepe Journal of Mathematics and Statistics 38 (2009), no. 2, 119–128.
     3. Zhen-Hang Yang, On the log-convexity of two-parameter homogeneous functions, Mathematical Inequalities and Applications 10 (2007), no. 3, 499–516.
     4. 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)
     5. 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.
     6. 匡继昌，常用不等式，第三版，山东科学技术出版社，2004年，第46页。
     7. 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.
     8. 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.
     9. 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.
     10. P. S. Bullen, Handbook of Means and Their Inequalities, Mathematics and its Applications, Volume 560, page 395, Kluwer Academic Publishers, 2003.
     11. 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.
     12. 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.
     13. 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.
     14. 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.
3. Feng Qi and Qin-Dao Hao, Refinements and sharpenings of Jordan’s and Kober’s inequality, Mathematics and Informatics Quarterly 8(1998), no. 3, 116–120.
   • Cited by-被引用情况
     1. Yuyang Qiu and Ling Zhu, The best approximation of the sinc function by a polynomial of degree $n$ with the square norm, Journal of Inequalities and Applications 2010 (2010), Article ID 307892, 12 pages; Available online at http://dx.doi.org/10.1155/2010/307892.
     2. Ling Zhu, A general form of Jordan-type double inequality for the generalized and normalized Bessel functions, Applied Mathematics and Computation 215 (2010), no. 11, 3802–3810.
     3. Árpád Baricz, Jordan-type inequalities for generalized Bessel functions, Journal of Inequalities in Pure and Applied Mathematics 9 (2008), no. 2, Article 39; Available online at http://www.emis.de/journals/JIPAM/article971.html.
     4. 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.
     5. Ling Zhu, A general form of Jordan’s inequalities and its applications, Mathematical Inequalities and Applications 11 (2008), no. 4, 655–665.
     6. 吴善和，Jordan不等式的加细与推广，成都大学学报（自然科学版）23 (2004), no. 2, 37–40.
     7. Árpád Baricz, Some inequalities involving generalized Bessel functions, Mathematical Inequalities and Applications 10 (2007), no. 4, 827–842.
     8. Shan-He Wu, On generalizations and refinements of Jordan type inequality, Octogon Mathematical Magazine 12 (2004), no. 1, 267–272.
     9. 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.
4. Feng Qi and Zheng Huang, Inequalities of the complete elliptic integrals, Tamkang Journal of Mathematics 29(1998), no. 3, 165–169; available online at https://doi.org/10.5556/j.tkjm.29.1998.4242.
   • Cited by-被引用情况
     1. 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.
     2. 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.
     3. Henri Lindén, Turán type inequalities for generalized elliptic integrals, Helsinki Analysis Seminar, 5.3.2007.
     4. Árpád Baricz, Turán type inequalities for generalized elliptic integrals, Mathematische Zeitschrift 256 (2007), no. 4, 895–911.
5. Feng Qi and Qiu-Ming Luo, A simple proof of monotonicity for extended mean values, Journal of Mathematical Analysis and Applications 224 (1998), 356–359; Available online at http://dx.doi.org/10.1006/jmaa.1998.6003.
   • Cited by-被引用情况
     1. Peng Gao, Some monotonicity properties of gamma and $q$-gamma functions, ISRN Mathematical Analysis 2011 (2011), Article ID 375715, 15 pages; Available online at http://dx.doi.org/10.5402/2011/375715.
     2. 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.
     3. 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。
     4. 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.
     5. 林永伟，王爱芹，杨士俊，某些平均值不等式的注记，杭州师范学院学报（自然科学版） 2 (2003), no. 1, 26–29.
     6. 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.
     7. Shi-Jun Yang, A direct proof and extensions of an inequality, Journal of Mathematical Research and Exposition 24 (2004), no. 4, 649–652.
     8. X. Li and R. N. Mohapatra, Extended means as weighted means, Proceedings of the Royal Society of London Series A—Mathematical, Physical and Engineering Sciences 457 (2001), no. 2009, 1273–1275.
     9. P. S. Bullen, Handbook of Means and Their Inequalities, Mathematics and its Applications, Volume 560, page 395, Kluwer Academic Publishers, 2003.
     10. Young-Ho Kim, A simple proof and extensions of an inequality, Journal of Mathematical Analysis and Applications 245 (2000), 294–296.
     11. Zheng Liu (刘证), Remarks on two papers by Y. H. Kim, 数学研究与评论 24 (2004), no. 1, 18–20.
6. Feng Qi and Sen-Lin Xu, The function $(b^x-a^x)/x$: Inequalities and properties, Proceedings of the American Mathematical Society 126 (1998), no. 11, 3355–3359; Available online at http://dx.doi.org/10.1090/S0002-9939-98-04442-6.
   • Cited by-被引用情况
     1. Kenneth S. Berenhaut and Donghui Chen, Inequalities for $3$-log-convex functions, Journal of Inequalities in Pure and Applied Mathematics 9 (2008), no. 4, Article 97; Available online at http://www.emis.de/journals/JIPAM/article1033.html.
     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. Shi-Jun Yang, A direct proof and extensions of an inequality, Journal of Mathematical Research and Exposition 24 (2004), no. 4, 649–652.
     4. Hillel Gauchman, Steffensen pairs and associated inequalities, Journal of Inequalities and Applications 5 (2000), no. 1, 53–61.
     5. 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.
   • Awarded by-获奖情况
     1. 2000年9月获河南省教育厅颁发的“河南省教育系统科研奖励证书”优秀论文奖一等奖。证书编号：豫教[2000]00548号。
7. Josip Pečarić, Feng Qi, V. Šimić and Sen-Lin Xu, Refinements and extensions of an inequality, III, Journal of Mathematical Analysis and Applications 227(1998), no. 2, 439–448; Available online at http://dx.doi.org/10.1006/jmaa.1998.6104.
   • Cited by-被引用情况
     1. Zheng Liu, Minkowski’s inequality for extended mean values, Proceedings of the Second ISAAC Congress, Vol. 1 (Fukuoka, 1999), 585–592, Int. Soc. Anal. Appl. Comput., 7, Kluwer Acad. Publ., Dordrecht, 2000.
     2. Kenneth S. Berenhaut and Donghui Chen, Inequalities for $3$-log-convex functions, Journal of Inequalities in Pure and Applied Mathematics 9 (2008), no. 4, Article 97; Available online at http://www.emis.de/journals/JIPAM/article1033.html.
     3. 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。
     4. 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)
     5. 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.
     6. Young-Ho Kim, A simple proof and extensions of an inequality, Journal of Mathematical Analysis and Applications 245 (2000), 294–296.
     7. Liu Zheng, A note on an inequality, Pure and Applied Mathematics 17 (2001), no. 4, 349–351.
     8. Zheng Liu, Remarks on two papers by Y. H. Kim, Journal of Mathematical Research and Exposition 24 (2004), no. 1, 18–20.
8. 雒秋明，张士勤，祁锋，一个不等式的推广，南都学坛 18 (1998), no. 6, 27–28.
9. Q. Feng, Evaluation of an integral, American Mathematical Monthly 105 (1998), no. 1, 75–77.

---