Some papers and preprints in 2008 by Dr. Prof. Feng Qi

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Some papers and preprints in 2008

Twenty two papers formally published in 2008

2008年正式发表的22篇论文

  1. Feng Qi, A new lower bound in the second Kershaw’s double inequality, Journal of Computational and Applied Mathematics 214 (2008), no. 2, 610–616; Available online at http://dx.doi.org/10.1016/j.cam.2007.03.016.
    • Cited by-被引用情况
      1. Yi-Chao Chen, Toufik Mansour, and Qian Zou, On the complete monotonicity of quotient of gamma functions, Mathematical Inequalities and Applications 15 (2012), in press.
      2. Yuming Chu, Xiaoming Zhang and Xiaomin Tang, An elementary inequality for psi function, Bulletin of the Institute of Mathematics Academia Sinica (New Series) 3 (2008), no. 3, 373–380.
      3. Tomislav Burić and Neven Elezović, Some completely monotonic functions related to the psi function, Mathematical Inequalities and Applications 14 (2011), no. 3, 679–691.
      4. 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.
      5. Chao-Ping Chen, On some inequalities for means and the second Gautschi-Kershaw’s inequality, RGMIA Research Report Collection 11 (2008), Supplement, Article 6; Available online at http://rgmia.org/v11(E).php.
      6. Xiaoming Zhang and Yuming Chu, A double inequality for the gamma and psi functions, International Journal of Modern Mathematics 3 (2008), no. 1, 67–73.
      7. Necdet Batir, On some properties of the gamma function, Expositiones Mathematicae 26 (2008) 187–196; Available online at http://dx.doi.org/10.1016/j.exmath.2007.10.001.
      8. Chao-Ping Chen and Ai-Jun Li, Monotonicity results of integral mean and application to extension of the second Gautschi-Kershaw’s inequality, RGMIA Research Report Collection 10 (2007), no. 4, Article 2; Available online at http://rgmia.org/v10n4.php.
      9. 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.
  2. Feng Qi, Jian Cao and Da-Wei Niu, A generalization of van der Corput’s inequality, Applied Mathematics and Computation 203 (2008), no. 2, 770–777; Available online at http://dx.doi.org/10.1016/j.amc.2008.05.054.
    • Cited by-被引用情况
      1. Gabriel Stan, Another extension of van der Corput’s inequality, Bulletin of the Transilvania University of Braşov Series III: Mathematics, Informatics, Physics 3 (2010), no. 52, 133–142.
  3. Feng Qi and Bai-Ni Guo, A class of logarithmically completely monotonic functions and the best bounds in the second Kershaw’s double inequality, Journal of Computational and Applied Mathematics 212 (2008), no. 2, 444–456; Available online at http://dx.doi.org/10.1016/j.cam.2006.12.022.
    • Cited by-被引用情况
      1. Tomislav Burić and Neven Elezović, Some completely monotonic functions related to the psi function, Mathematical Inequalities and Applications 14 (2011), no. 3, 679–691.
      2. Chao-Ping Chen, On some inequalities for means and the second Gautschi-Kershaw’s inequality, RGMIA Research Report Collection 11 (2008), Supplement, Article 6; Available online at http://rgmia.org/v11(E).php.
      3. 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.
  4. Feng Qi and Bai-Ni Guo, Wendel’s and Gautschi’s inequalities: Refinements, extensions, and a class of logarithmically completely monotonic functions, Applied Mathematics and Computation 205 (2008), no. 1, 281–290; Available online at http://dx.doi.org/10.1016/j.amc.2008.07.005.
    • Cited by-被引用情况
      1. Chao-Ping Chen, H. M. Srivastava, Li Li, and Seiichi Manyama, Inequalities and monotonicity properties for the psi (or digamma) function and estimates for the Euler-Mascheroni constant, Integral Transforms and Special Functions 22 (2011), no. 9, 681–693; Available online at http://dx.doi.org/10.1080/10652469.2010.538525.
      2. Yi-Chao Chen, Toufik Mansour, and Qian Zou, On the complete monotonicity of quotient of gamma functions, Mathematical Inequalities and Applications 15 (2012), in press.
      3. Tomislav Burić and Neven Elezović, Some completely monotonic functions related to the psi function, Mathematical Inequalities and Applications 14 (2011), no. 3, 679–691.
      4. Cristinel Mortici, Estimating the digamma and trigamma functions by completely monotonicity arguments, Applied Mathematics and Computation 217 (2010), 4081–4085; Available online at http://dx.doi.org/10.1016/j.amc.2010.10.023.
      5. Chao-Ping Chen, Monotonicity properties of functions related to the psi function, Applied Mathematics and Computation 217 (2010), 2905–2911; Available online at http://dx.doi.org/10.1016/j.amc.2010.09.013.
      6. Chao-Ping Chen, On some inequalities for means and the second Gautschi-Kershaw’s inequality, RGMIA Research Report Collection 11 (2008), Supplement, Article 6; Available online at http://rgmia.org/v11(E).php.
  5. Feng Qi, Senlin Guo and Shou-Xin Chen, A new upper bound in the second Kershaw’s double inequality and its generalizations, Journal of Computational and Applied Mathematics 220 (2008), no. 1-2, 111–118; Available online at http://dx.doi.org/10.1016/j.cam.2007.07.037.
    • Cited by-被引用情况
      1. Yi-Chao Chen, Toufik Mansour, and Qian Zou, On the complete monotonicity of quotient of gamma functions, Mathematical Inequalities and Applications 15 (2012), in press.
      2. Yuming Chu, Xiaoming Zhang and Xiaomin Tang, An elementary inequality for psi function, Bulletin of the Institute of Mathematics Academia Sinica (New Series) 3 (2008), no. 3, 373–380.
      3. 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.
      4. Chao-Ping Chen, On some inequalities for means and the second Gautschi-Kershaw’s inequality, RGMIA Research Report Collection 11 (2008), Supplement, Article 6; Available online at http://rgmia.org/v11(E).php.
      5. 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.
      6. Xiaoming Zhang and Yuming Chu, A double inequality for the gamma and psi functions, International Journal of Modern Mathematics 3 (2008), no. 1, 67–73.
      7. Chao-Ping Chen and Ai-Jun Li, Monotonicity results of integral mean and application to extension of the second Gautschi-Kershaw’s inequality, RGMIA Research Report Collection 10 (2007), no. 4, Article 2; Available online at http://rgmia.org/v10n4.php.
  6. Feng Qi, Senlin Guo, Bai-Ni Guo and Shou-Xin Chen, A class of $k$-log-convex functions and their applications to some special functions, Integral Transforms and Special Functions 19 (2008), no. 3, 195–200; Available online at http://dx.doi.org/10.1080/10652460701722627.
    • 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. Chao-Ping Chen, H. M. Srivastava, Li Li, and Seiichi Manyama, Inequalities and monotonicity properties for the psi (or digamma) function and estimates for the Euler-Mascheroni constant, Integral Transforms and Special Functions 22 (2011), no. 9, 681–693; Available online at http://dx.doi.org/10.1080/10652469.2010.538525.
      3. Chao-Ping Chen, Monotonicity properties of functions related to the psi function, Applied Mathematics and Computation 217 (2010), 2905–2911; Available online at http://dx.doi.org/10.1016/j.amc.2010.09.013.
  7. Feng Qi, Xiao-Ai Li and Shou-Xin Chen, Refinements, extensions and generalizations of the second Kershaw’s double inequality, Mathematical Inequalities and Applications 11(2008), no. 3, 457–465.
    • City by-被引用情况
      1. Yu-Ming Chu and Bo-Yong Long, Best possible inequalities between generalized logarithmic mean and classical means, Abstract and Applied Analysis 2010 (2010), Article ID 303286, 13 pages; Available online at http://dx.doi.org/10.1155/2010/303286.
      2. Wei-Mao Qian and Ning-Guo Zheng, An optimal double inequality for means, Journal of Inequalities and Applications 2010 (2010), Article ID 578310, 11 pages; Available online at http://dx.doi.org/10.1155/2010/578310.
      3. Cristinel Mortici, Sharp inequalities and complete monotonicity for the Wallis ratio, Bulletin of the Belgian Mathematical Society–Simon Stevin 17 (2010), 929–936.
      4. 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.
      5. 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.
  8. Feng Qi, Qiu-Ming Luo and Bai-Ni Guo, Darboux’s formula with integral remainder of functions with two independent variables, Applied Mathematics and Computation 199 (2008), no. 2, 691–703; Available online at http://dx.doi.org/10.1016/j.amc.2007.10.028.
    • Cited by-被引用情况
      1. Cristinel Mortici, Estimating the digamma and trigamma functions by completely monotonicity arguments, Applied Mathematics and Computation 217 (2010), 4081–4085; Available online at http://dx.doi.org/10.1016/j.amc.2010.10.023.
  9. Feng Qi, Da-Wei Niu, Jian Cao and Shou-Xin Chen, Four logarithmically completely monotonic functions involving gamma function, Journal of the Korean Mathematical Society 45 (2008), no. 2, 559–573; Available online at http://dx.doi.org/10.4134/JKMS.2008.45.2.559.
    • Cited by-被引用情况
      1. K. Nonlaopon and R. Kotnara, Some classes of logarithmically completely monotonic functions related to the gamma function, International Journal of Pure and Applied Mathematics 63 (2010), no. 4, 471–478.
      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. Cristinel Mortici, Sharp inequalities and complete monotonicity for the Wallis ratio, Bulletin of the Belgian Mathematical Society–Simon Stevin 17 (2010), 929–936.
  10. Chao-Ping Chen and Feng Qi, The best bounds of the $n$-th harmonic number, Global Journal of Applied Mathematics and Mathematical Sciences 1 (2008), no. 1, 41–49.
  11. Bai-Ni Guo and Feng Qi, A double inequality for divided differences and some identities of the psi and polygamma functions, Australian Journal of Mathematical Analysis and Applications 5 (2008), no. 2, Article 18; Available online at http://ajmaa.org/cgi-bin/paper.pl?string=v5n2/V5I2P18.tex.
  12. Bai-Ni Guo and Feng Qi, Alternative proofs for inequalities of some trigonometric functions, International Journal of Mathematical Education in Science and Technology 39 (2008), no. 3, 384–389; Available online at http://dx.doi.org/10.1080/00207390701639516.
  13. Senlin Guo and Feng Qi, A logarithmically complete monotonicity property of the gamma function, International Journal of Pure and Applied Mathematics 43 (2008), no. 1, 63–68.
  14. Senlin Guo, Feng Qi and Hari M. Srivastava, Supplements to a class of logarithmically completely monotonic functions associated with the gamma function, Applied Mathematics and Computation 197 (2008), no. 2, 768–774; Available online at http://dx.doi.org/10.1016/j.amc.2007.08.011.
    • Cited by-被引用情况
      1. Chao-Ping Chen, H. M. Srivastava, Li Li, and Seiichi Manyama, Inequalities and monotonicity properties for the psi (or digamma) function and estimates for the Euler-Mascheroni constant, Integral Transforms and Special Functions 22 (2011), no. 9, 681–693; Available online at http://dx.doi.org/10.1080/10652469.2010.538525.
      2. Hamdullah Şevli and Necdet Batir, Complete monotonicity results for some functions involving the gamma and polygamma functions, Mathematical and Computer Modelling 53 (2011), 1771–1775; Available online at http://dx.doi.org/10.1016/j.mcm.2010.12.055.
      3. Chao-Ping Chen, Monotonicity properties of functions related to the psi function, Applied Mathematics and Computation 217 (2010), 2905–2911; Available online at http://dx.doi.org/10.1016/j.amc.2010.09.013.
      4. Chao-Ping Chen, Two classes of logarithmically completely monotonic functions associated with the gamma function, RGMIA Research Report Collection 10 (2007), no. 4, Article 5; Available online at http://rgmia.org/v10n4.php.
  15. Abdolhossein Hoorfar and Feng Qi, A new refinement of Young’s inequality, Mathematical Inequalities and Applications 11(2008), no. 4, 689–692.
    • Cited by-被引用情况
      1. Peter R. Mercer, Error terms for Steffensen’s, Young’s, and Chebychev’s inequalities, Journal of Mathematical Inequalities 2 (2008), no. 4, 479–486.
      2. J. Jakšetić and J. Pečarić, A note on Young inequality, Mathematical Inequalities and Applications 13 (2010), no. 1, 43–48.
  16. Quôc Anh Ngô, Feng Qi and Ninh Van Thu, New generalizations of an integral inequality, Real Analysis Exchange 33 (2007/2008), no. 2, 471–474.
  17. Jian Cao, Da-Wei Niu and Feng Qi, Convexities of some functions involving the polygamma functions, Applied Mathematics E-notes 8 (2008), 53–57.
  18. Bai-Ni Guo, Ai-Qi Liu and Feng Qi, Monotonicity and logarithmic convexity of three functions involving exponential function, Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics 15 (2008), no. 4, 387–392.
  19. Bai-Ni Guo, Ying-Jie Zhang and Feng Qi, Refinements and sharpenings of some double inequalities for bounding the gamma function, Journal of Inequalities in Pure and Applied Mathematics 9 (2008), no. 1, Article 17; Available online at http://www.emis.de/journals/JIPAM/article953.html.
  20. Yu Miao, Li-Min Liu and Feng Qi, Refinements of inequalities between the sum of squares and the exponential of sum of a nonnegative sequence, Journal of Inequalities in Pure and Applied Mathematics 9 (2008), no. 2, Article 53; Available online at http://www.emis.de/journals/JIPAM/article985.html.
    • Cited by-被引用情况
      1. Yin Li, On several new Qi’s inequalities, Creative Mathematics and Informatics 20 (2011), no. 1, 90–95.
      2. Benharrat Belaïdi, Abdallah El Farissi and Zinelaâbidine Latreuch, On open problems of F. Qi, Journal of Inequalities in Pure and Applied Mathematics 10 (2009), no. 3, Article 90; Available online at http://www.emis.de/journals/JIPAM/article1146.html.
      3. Gholamreza Zabandan and Majid Mohammadzadeh, Note on an inequality of Qi’s type, Advances and Applications in Mathematical Sciences (2011), in press.
      4. Huan-Nan Shi, A generalization of Qi’s inequality for sums, Kragujevac Journal of Mathematics 35 (2010), 39–43.
      5. Tamás Móri, On an inequality of Feng Qi, Journal of Inequalities in Pure and Applied Mathematics 9 (2008), no. 3, Article 87; Available online at http://www.emis.de/journals/JIPAM/article1024.html.
  21. Ai-Qi Liu, Guo-Fu Li, Bai-Ni Guo and Feng Qi, Monotonicity and logarithmic concavity of two functions involving exponential function, International Journal of Mathematical Education in Science and Technology 39 (2008), no. 5, 686–691; Available online at http://dx.doi.org/10.1080/00207390801986841.
  22. Da-Wei Niu, Zhen-Hong Huo, Jian Cao and Feng Qi, A general refinement of Jordan’s inequality and a refinement of L. Yang’s inequality, Integral Transforms and Special Functions 19 (2008), no. 3, 157–164; Available online at http://dx.doi.org/10.1080/10652460701635886.
    • 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 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.
      3. Ling Zhu, Jordan type inequalities involving the Bessel and modified Bessel functions, Computers and Mathematics with Applications 59 (2010), no. 2, 724–736.
      4. Ling Zhu, Some new inequalities of the Huygens type, Computers and Mathematics with Applications 58 (2009), 1180–1182; Available online at http://dx.doi.org/10.1016/j.camwa.2009.07.045.
      5. Ling Zhu, Inequalities for hyperbolic functions and their applications, Journal of Inequalities and Applications 2010 (2010), Article ID 130821, 10 pages; Available online at http://dx.doi.org/10.1155/2010/130821.
      6. Árpád Baricz and Shanhe Wu, Sharp Jordan-type inequalities for Bessel functions, Publicationes Mathematicae Debrecen 74 (2009), no. 1-2, 107–126.
      7. 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.
      8. Wenhai Pan and Ling Zhu, Generalizations of Shafer-Fink-type inequalities for the arc sine function, Journal of Inequalities and Applications 2009 (2009), Article ID 705317, 6 pages; Available online at http://dx.doi.org/10.1155/2009/705317.
      9. R. Klén, M. Lehtonen and M. Vuorinen, On Jordan type inequalities for hyperbolic functions, Available online at http://arxiv.org/abs/0808.1493.

Six preprints announced in 2008

2008年以预印本形式发表的6篇论文

  1. Feng Qi, Bounds for the ratio of two gamma functions, RGMIA Research Report Collection 11 (2008), no. 3, Article 1; Available online at http://rgmia.org/v11n3.php.
    • Cited by-被引用情况
      1. 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.
      2. 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.
      3. 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.
  2. Feng Qi and Bai-Ni Guo, A new proof of complete monotonicity of a function involving psi function, RGMIA Research Report Collection 11 (2008), no. 3, Article 12; Available online at http://rgmia.org/v11n3.php.
    • Cited by-被引用情况
      1. 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.
      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. Feng Qi and Bai-Ni Guo, The function $(b^x-a^x)/x$: Logarithmic convexity, RGMIA Research Report Collection 11 (2008), no. 1, Article 5; Available online at http://rgmia.org/v11n1.php.
    • 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.
  4. Feng Qi and Da-Wei Niu, Refinements, generalizations and applications of Jordan’s inequality and related problems, RGMIA Research Report Collection 11 (2008), no. 2, Article 9; Available online at http://rgmia.org/v11n2.php.
    • Cited by-被引用情况
      1. Ling Zhu, Jordan type inequalities involving the Bessel and modified Bessel functions, Computers and Mathematics with Applications 59 (2010), no. 2, 724–736.
      2. Árpád Baricz and Shanhe Wu, Sharp Jordan-type inequalities for Bessel functions, Publicationes Mathematicae Debrecen 74 (2009), no. 1-2, 107–126.
      3. Shanhe Wu and Árpád Baricz, Generalizations of Mitrinović, Adamović and Lazarević’s inequalities and their applications, Publicationes Mathematicae Debrecen 75 (2009), no. 3-4, 447–458.
  5. Mohammad Masjed-Jamei, Feng Qi and H. M. Srivastava, Generalizations of some classical inequalities via a special functional property, RGMIA Research Report Collection 11 (2008), no. 4, Article 12; Available online at http://rgmia.org/v11n4.php.
  6. Quôc Anh Ngô and Feng Qi, Generalizations of an integral inequality, RGMIA Research Report Collection 11 (2008), no. 3, Article 6; Available online at http://rgmia.org/v11n3.php.

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