Some papers and preprints in 2006 by Dr. Prof. Feng Qi

Add a comment

Some papers and preprints in 2006

Thirty one papers formally published in 2006

2006年正式发表的31篇论文

  1. Feng Qi, Three-log-convexity for a class of elementary functions involving exponential function, Journal of Mathematical Analysis and Approximation Theory 1 (2006), no. 2, 100–103.
    • 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. Feng Qi, Jian Cao and Da-Wei Niu, More notes on a functional equation, International Journal of Mathematical Education in Science and Technology 37 (2006), no. 7, 865–868; Available online at http://dx.doi.org/10.1080/00207390600733873.
  3. Feng Qi, Jian Cao, Da-Wei Niu and Nenad Ujević, An upper bound of a function with two independent variables, Applied Mathematics E-Notes 6 (2006), Article 17, 148–152.
  4. Feng Qi and Bai-Ni Guo, Monotonicity of sequences involving convex function and sequence, Mathematical Inequalities & Applications 9 (2006), no. 2, 247–254; Available online at http://dx.doi.org/10.7153/mia-09-25.
    • Cited by-被引用情况
      1. Jiding Liao and Kaizhong Guan, On Alzer’s inequality and its generalized forms, Journal of Mathematical Inequalities 4 (2010), no. 2, 161–170.
      2. Ioan Gavrea, Operators of Bernstein-Stancu type and the monotonicity of some sequences involving convex functions, International Series of Numerical Mathematics: Inequalities and Applications 157, Part IV, 181–192, Birkhäuser Basel, 2009; Available online at http://dx.doi.org/10.1007/978-3-7643-8773-0_17.
      3. Chao-Ping Chen, The monotonicity of the ratio between generalized logarithmic means, Journal of Mathematical Analysis and Applications 345 (2008), no. 1, 86–89.
      4. 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.
  5. Feng Qi, Bai-Ni Guo and Chao-Ping Chen, Some completely monotonic functions involving the gamma and polygamma functions, Journal of the Australian Mathematical Society 80 (2006), no. 1, 81–88; Available online at http://dx.doi.org/10.1017/S1446788700011393.
    • 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. 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.
      4. 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.
      5. Cristinel Mortici, Very accurate estimates of the polygamma functions, Asymptotic Analysis 68 (2010), no. 3, 125–134; Available online at http://dx.doi.org/10.3233/ASY-2010-0983.
      6. Tomislav Burić and Neven Elezović, Some completely monotonic functions related to the psi function, Mathematical Inequalities and Applications 14 (2011), no. 3, 679–691.
      7. Christian Berg and Henrik L. Pedersen, A one-parameter family of Pick functions defined by the Gamma function and related to the volume of the unit ball in $n$-space, Proceedings of the American Mathematical Society 139 (2011), no. 6, 2121–2132; Available online at http://dx.doi.org/10.1090/S0002-9939-2010-10636-6.
      8. Xin Li and Chao-Ping Chen, Logarithmically completely monotonic functions relating to the gamma functions, Octogon Mathematical Magazine 15 (2007), no. 1, 7–10.
      9. Jian-She Sun and Zong-Qing Guo, A note on logarithmically completely monotonic functions involving the gamma functions, Communications in Mathematical Analysis 2 (2007), no. 1, 12–16.
  6. Feng Qi, Bai-Ni Guo and Chao-Ping Chen, The best bounds in Gautschi-Kershaw inequalities, Mathematical Inequalities & Applications 9 (2006), no. 3, 427–436; Available online at http://dx.doi.org/10.7153/mia-09-41.
    • 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. 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.
      3. H. Susitha I. Karunaratne and Petros Hadjicostas, Comparison of location estimators using Banks’ criterion, Mathematical Inequalities and Applications 12 (2009), no. 3, 455–472.
      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. Yuming Chu, Xiaoming Zhang and Zhihua Zhang, The geometric convexity of a function involving gamma function with applications, Communications of the Korean Mathematical Society 25 (2010), no. 3, 373–383; Available online at http://dx.doi.org/10.4134/CKMS.2010.25.3.373.
      6. 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.
      7. 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.
      8. 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.
  7. Feng Qi, Wei Li and Bai-Ni Guo, Generalizations of a theorem of I. Schur, Applied Mathematics E-Notes 6 (2006), Article 29, 244–250.
  8. Feng Qi, Ai-Jun Li, Wei-Zhen Zhao, Da-Wei Niu and Jian Cao, Extensions of several integral inequalities, Journal of Inequalities in Pure and Applied Mathematics 7 (2006), no. 3, Article 107; Available online at http://www.emis.de/journals/JIPAM/article706.html.
    • Cited by-被引用情况
      1. Mohamad Rafi Segi Rahmat, On some $(q,h)$-analogues of integral inequalities on discrete time scales, Computers and Mathematics with Applications 62 (2011), no. 4, 1790–1797; Available online at http://dx.doi.org/10.1016/j.camwa.2011.06.022.
      2. 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.
      3. Xinkuan Chai and Hongxia Du, Several discrete inequalities, International Journal of Mathematical Analysis 4 (2010), no. 33-36, 1645–1649.
      4. Wenjun Liu, Quôc-Anh Ngô and Vu Nhat Huy, Several interesting integral inequalities, Journal of Mathematical Inequalities 3 (2009), no. 2, 201–212.
      5. Yu Miao and Juan-Fang Liu, Discrete results of Qi-type inequality, Bulletin of the Korean Mathematical Society 46 (2009), no. 1, 125–134.
      6. 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.
      7. 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.
  9. Feng Qi, Da-Wei Niu and Jian Cao, An infimum and an upper bound of a function with two independent variables, Octogon Mathematical Magazine 14 (2006), no. 1, 248–250.
  10. Feng Qi, Da-Wei Niu and Jian Cao, Logarithmically completely monotonic functions involving gamma and polygamma functions, Journal of Mathematical Analysis and Approximation Theory 1 (2006), no. 1, 66–74.
    • 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. 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.
  11. Feng Qi and Jian-She Sun, A monotonicity result of a function involving the gamma function, Analysis Mathematica 32 (2006), no. 4, 279–282; Available online at http://dx.doi.org/10.1007/s10476-006-0012-y.
    • 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.
  12. Feng Qi and Meng-Long Yang, Comparisons of two integral inequalities with Hermite-Hadamard-Jensen’s integral inequality, International Journal of Applied Mathematical Sciences 3 (2006), no. 1, 83–88.
  13. Feng Qi and Meng-Long Yang, Comparisons of two integral inequalities with Hermite-Hadamard-Jensen’s integral inequality, Octogon Mathematical Magazine 14 (2006), no. 1, 53–58.
  14. Feng Qi, Qiao Yang and Wei Li, Two logarithmically completely monotonic functions connected with gamma function, Integral Transforms and Special Functions 17 (2006), no. 7, 539–542; Available online at http://dx.doi.org/10.1080/10652460500422379.
    • 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. 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.
      4. 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.
      5. 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.
      6. 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.
  15. Chao-Ping Chen and Feng Qi, Extension of an inequality of H. Alzer, Mathematical Gazette 90 (2006), no. 518, 293–295; Available online at http://dx.doi.org/10.1017/S0025557200179768 and http://www.jstor.org/stable/40378624.
    • 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.
  16. Chao-Ping Chen and Feng Qi, Logarithmically completely monotonic functions relating to the gamma function, Journal of Mathematical Analysis and Applications 321 (2006), no. 1, 405–411; Available online at http://dx.doi.org/10.1016/j.jmaa.2005.08.056.
    • 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. Lingli Wu and Yuming Chu, An inequality for the psi functions, Applied Mathematical Sciences 2 (2008), no. 11, 545–550.
      3. 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.
      4. 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.
      5. Valmir Krasniqi and Senlin Guo, Logarithmically completely monotonic functions involving generalized gamma and $q$-gamma functions, Journal of Inequalities and Special Functions 1 (2011), no. 2, 8–16.
      6. 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.
      7. 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.
      8. Cristinel Mortici, Very accurate estimates of the polygamma functions, Asymptotic Analysis 68 (2010), no. 3, 125–134; Available online at http://dx.doi.org/10.3233/ASY-2010-0983.
      9. T. K. Pogány and H. M. Srivastava, Some Mathieu-type series associated with the Fox-Wright function, Computers & Mathematics with Applications 57 (2009), no. 1, 127–140.
      10. Senlin Guo and H. M. Srivastava, A class of logarithmically completely monotonic functions, Applied Mathematics Letters 21 (2008), no. 11, 1134–1141.
      11. 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.
      12. 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.
  17. Chao-Ping Chen and Feng Qi, Monotonicity properties and inequalities of functions related to means, Rocky Mountain Journal of Mathematics 36 (2006), no. 3, 857–865; Available online at http://dx.doi.org/10.1216/rmjm/1181069432.
  18. Chao-Ping Chen and Feng Qi, Note on Alzer’s inequality, Tamkang Journal of Mathematics 37 (2006), no. 1, 11–14; Available online at http://dx.doi.org/10.5556/j.tkjm.37.2006.175.
    • Cited by-被引用情况
      1. D. 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. Grahame Bennett, Meaningful inequalities, Journal of Mathematical Inequalities 1 (2007), no. 4, 449–471.
  19. Bai-Ni Guo and Feng Qi, Monotonicity of sequences involving geometric means of positive sequences with monotonicity and logarithmical convexity, Mathematical Inequalities & Applications 9 (2006), no. 1, 1–9; Available online at http://dx.doi.org/10.7153/mia-09-01.
    • Cited by-被引用情况
      1. S. K. Dong, H. W. Gao, G. C. Xu, X. Y. Hou, R. J. Long, M. Y. Kang and J. P. Lassoie, Farmer and professional attitudes to the large-scale ban on livestock grazing of grasslands in China, Environmental Conservation 34 (2007), no. 3, 246–254.
      2. Grahame Bennett, Meaningful inequalities, Journal of Mathematical Inequalities 1 (2007), no. 4, 449–471.
  20. Jian Cao, Da-Wei Niu and Feng Qi, A refinement of Carleman’s inequality, Advanced Studies in Contemporary Mathematics (Kyungshang) 13 (2006), no. 1, 57–62.
  21. Jian Cao, Da-Wei Niu and Feng Qi, An extension and a refinement of van der Corput’s inequality, International Journal of Mathematics and Mathematical Sciences 2006 (2006), Article ID 70786, 10 pages; Available online at http://dx.doi.org/10.1155/IJMMS/2006/70786.
    • Cited by-被引用情况
      1. 许谦，张小明，对Van Der Corput不等式的加强，纯粹数学与应用数学 26 (2010), no. 6, 895–904. [Qian Xu and Xiao-Ming Zhang, A strengthened of Van Der Corput’s inequality, Pure and Applied Mathematics 26 (2010), no. 6, 895–904. (Chinese)]
      2. 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. Xiaoming Zhang and Lokenath Debnath, On a new improvement of van der Corput’s inequality, International Journal of Pure and Applied Mathematics 66 (2011), no. 1, 113–120.
      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.
  22. Chao-Ping Chen, Xin Li and Feng Qi, A logarithmically completely monotonic function involving the gamma functions, General Mathematics 14 (2006), no. 4, 127–134.
    • Cited by-被引用情况
      1. Valmir Krasniqi and Senlin Guo, Logarithmically completely monotonic functions involving generalized gamma and $q$-gamma functions, Journal of Inequalities and Special Functions 1 (2011), no. 2, 8–16.
      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.
  23. Bai-Ni Guo, Rong-Jiang Chen and Feng Qi, A class of completely monotonic functions involving the polygamma functions, Journal of Mathematical Analysis and Approximation Theory 1 (2006), no. 2, 124–134.
    • 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. Cristinel Mortici, Very accurate estimates of the polygamma functions, Asymptotic Analysis 68 (2010), no. 3, 125–134; Available online at http://dx.doi.org/10.3233/ASY-2010-0983.
  24. Da-Wei Niu, Jian Cao and Feng Qi, A class of logarithmically completely monotonic functions related to $(1+1/x)^x$ and an application, General Mathematics 14 (2006), no. 4, 97–112.
    • Cited by-被引用情况
      1. 许谦，张小明，对Van Der Corput不等式的加强，纯粹数学与应用数学 26 (2010), no. 6, 895–904. [Qian Xu and Xiao-Ming Zhang, A strengthened of Van Der Corput’s inequality, Pure and Applied Mathematics 26(2010), no. 6, 895–904. (Chinese)]
      2. Xiaoming Zhang and Lokenath Debnath, On a new improvement of van der Corput’s inequality, International Journal of Pure and Applied Mathematics 66 (2011), no. 1, 113–120.
      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.
  25. Da-Wei Niu, Jian Cao and Feng Qi, A refinement of van der Corput’s inequality, Journal of Inequalities in Pure and Applied Mathematics 7 (2006), no. 4, Article 127; Available online at http://www.emis.de/journals/JIPAM/article744.html.
    • Cited by-被引用情况
      1. 许谦，张小明，对Van Der Corput不等式的加强，纯粹数学与应用数学 26 (2010), no. 6, 895–904. [Qian Xu and Xiao-Ming Zhang, A strengthened of Van Der Corput’s inequality, Pure and Applied Mathematics 26(2010), no. 6, 895–904. (Chinese)]
      2. Xiaoming Zhang and Lokenath Debnath, On a new improvement of van der Corput’s inequality, International Journal of Pure and Applied Mathematics 66 (2011), no. 1, 113–120.
      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.
  26. Huan-Nan Shi, Shan-He Wu and Feng Qi, An alternative note on the Schur-convexity of the extended mean values, Mathematical Inequalities & Applications 9 (2006), no. 2, 219–224; Available online at http://dx.doi.org/10.7153/mia-09-22.
    • Cited by-被引用情况
      1. Shanhe Wu, On a weighted and exponential generalization of Rado’s inequality, Taiwanese Journal of Mathematics 13 (2009), no. 1, 359–368.
      2. Huan-Nan Shi, Mihály Bencze, Shan-He Wu, and Da-Mao Li, Schur convexity of generalized Heronian means involving two parameters, Journal of Inequalities and Applications 2008 (2008), Article ID 879273, 9 pages; Available online at http://dx.doi.org/10.1155/2008/879273.
      3. Huan Nan Shi, Jian Zhang and Da-mao Li, Schur-geometric convexity for differences of means, Applied Mathematics E-Notes 10 (2010), 275–284.
      4. Zhen-Hang Yang, Necessary and sufficient conditions for Schur geometrical convexity of the four-parameter homogeneous means, Abstract and Applied Analysis 2010 (2010), Article ID 830163, 16 pages; Available online at http://dx.doi.org/10.1155/2010/830163.
      5. 褚玉明，夏卫锋，赵铁洪，一类对称函数的Schur凸性，中国科学A辑，2009年第39卷第11期，1267–1277.
      6. 褚玉明，夏卫锋，Gini平均值公开问题的解，中国科学A辑，2009年第39卷第8期，996–1002.
      7. Wei-Feng Xia, Yu-Ming Chu, and Gen-Di Wang, Necessary and sufficient conditions for the Schur harmonic convexity or concavity of the extended mean values, Revista de la Unión Matemática Argentina 51 (2010), no. 2, 121–132.
      8. Zhen-Hang Yang, Necessary and sufficient condition for Schur convexity of the two-parameter symmetric homogeneous means, Applied Mathematical Sciences 5 (2011), no. 64, 3183–3190.
      9. Zhen-Hang Yang, Schur harmonic convexity of Gini means, International Mathematical Forum 6 (2011), no. 16, 747–762.
      10. Vera Culjak, Iva Franjić, Roqia Ghulam, and Josip Pečarić, Schur-convexity of averages of convex functions, Journal of Inequalities and Applications 2011 (2011), Article ID 581918, 25 pages; Available online at http://dx.doi.org/10.1155/2011/581918.
      11. Xia Weifeng and Chu Yuming Chu, The Schur convexity of Gini mean values in the sense of harmonic mean, Acta Mathematica Scientia 31B (2011), no. 3, 1103–1112; Available online at http://dx.doi.org/10.1016/S0252-9602(11)60301-9.
      12. 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.
      13. Yu-Ming Chu and Xiao-Ming Zhang, Necessary and sufficient conditions such that extended mean values are Schur-convex or Schur-concave, Journal of Mathematics of Kyoto University 48 (2008), no. 1, 229–238.
      14. 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.
      15. József Sándor, The Schur-convexity of Stolarsky and Gini means, Banach Journal of Mathematical Analysis 1 (2007), no. 2, 212–215.
  27. Su-Ling Zhang, Chao-Ping Chen and Feng Qi, Another proof of monotonicity for the extended mean values, Tamkang Journal of Mathematics 37 (2006), no. 3, 207–209; Available online at http://dx.doi.org/10.5556/j.tkjm.37.2006.165.
    • 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.
  28. Su-Ling Zhang, Chao-Ping Chen and Feng Qi, Continuous analogue of Alzer’s inequality, Tamkang Journal of Mathematics 37 (2006), no. 2, 105–108; Available online at http://dx.doi.org/10.5556/j.tkjm.37.2006.153.
    • Cited by-被引用情况
      1. D. 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. Grahame Bennett, Meaningful inequalities, Journal of Mathematical Inequalities 1 (2007), no. 4, 449–471.
  29. 陈超平，祁锋，关于$\Gamma$函数的一个凸性结果及其应用，数学研究与评论 26 (2006), no. 2, 361–364.
  30. 张素玲，陈超平，祁锋，关于一个完全单调函数，数学的实践与认识 36 (2006), no. 6, 236–238.
  31. 张素玲，陈超平，祁锋，关于伽玛函数的单调性质，大学数学 22 (2006), no. 4, 50–55.

Fourteen preprints announced in 2006

2006年以预印本形式发表的14篇论文

  1. Feng Qi, A class of logarithmically completely monotonic functions and application to the best bounds in the second Gautschi-Kershaw’s inequality, RGMIA Research Report Collection 9 (2006), no. 4, Article 11; Available online at http://rgmia.org/v9n4.php.
    • Cited by-被引用情况
      1. 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.
      2. 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, A class of logarithmically completely monotonic functions and the best bounds in the first Kershaw’s double inequality, RGMIA Research Report Collection 9 (2006), no. 2, Article 16, 351–362; Available online at http://rgmia.org/v9n2.php.
  3. Feng Qi, Jordan’s inequality: Refinements, generalizations, applications and related problems, RGMIA Research Report Collection 9 (2006), no. 3, Article 12; Available online at http://rgmia.org/v9n3.php.
    • 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. Randal Hugh Direen, Fundamental Limitations on the Terminal Behavior of Antennas and Nonuniform Transmission Lines, A thesis submitted to the Faculty of the Graduate School of the University of Colorado in partial fulfillment of the requirements for the degree of Doctor of Philosophy, 2010; Available online at http://gradworks.umi.com/34/53/3453702.html.
      3. 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.
      4. Árpád Baricz and Shanhe Wu, Sharp Jordan-type inequalities for Bessel functions, Publicationes Mathematicae Debrecen 74 (2009), no. 1-2, 107–126.
      5. 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.
      6. 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.
      7. 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.
      8. 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.
      9. Árpád Baricz, Some inequalities involving generalized Bessel functions, Mathematical Inequalities and Applications 10 (2007), no. 4, 827–842.
      10. 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.
  4. Feng Qi, A completely monotonic function involving divided differences of psi and polygamma functions and an application, RGMIA Research Report Collection 9 (2006), no. 4, Article 8; Available online at http://rgmia.org/v9n4.php.
    • Cited by-被引用情况
      1. Stamatis Koumandos, Monotonicity of some functions involving the gamma and psi functions, Mathematics of Computation 77 (2008), no. 264, 2261–2275.
      2. 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.
  5. Feng Qi, A completely monotonic function involving divided difference of psi function and an equivalent inequality involving sum, RGMIA Research Report Collection 9 (2006), no. 4, Article 5; Available online at http://rgmia.org/v9n4.php.
  6. Feng Qi, Monotonicity and logarithmic convexity for a class of elementary functions involving the exponential function, RGMIA Research Report Collection 9 (2006), no. 3, Article 3; Available online at http://rgmia.org/v9n3.php.
    • Cited by-被引用情况
      1. Stamatis Koumandos, Monotonicity of some functions involving the gamma and psi functions, Mathematics of Computation 77 (2008), no. 264, 2261–2275.
  7. Feng Qi, The best bounds in Kershaw’s inequality and two completely monotonic functions, RGMIA Research Report Collection 9 (2006), no. 4, Article 2; Available online at http://rgmia.org/v9n4.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.
      2. 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.
  8. Feng Qi, Three classes of logarithmically completely monotonic functions involving gamma and psi functions, RGMIA Research Report Collection 9 (2006), Supplement, Article 6; Available online at http://rgmia.org/v9(E).php.
    • Cited by-被引用情况
      1. Cristinel Mortici, Very accurate estimates of the polygamma functions, Asymptotic Analysis 68 (2010), no. 3, 125–134; Available online at http://dx.doi.org/10.3233/ASY-2010-0983.
  9. Feng Qi, Jian Cao and Da-Wei Niu, Four logarithmically completely monotonic functions involving gamma function and originating from problems of traffic flow, RGMIA Research Report Collection 9 (2006), no. 3, Article 9; Available online at http://rgmia.org/v9n3.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.
      2. 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.
  10. Feng Qi, Wei Li and Bai-Ni Guo, Generalizations of a theorem of I. Schur, RGMIA Research Report Collection 9 (2006), no. 3, Article 15; Available online at http://rgmia.org/v9n3.php.
    • 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.
  11. Feng Qi, Wei Li and Bai-Ni Guo, Generalizations of a theorem of I. Schur, 不等式研究通讯 13 (2006), no. 4, 355–364.
  12. Feng Qi, Da-Wei Niu and Jian Cao, Logarithmically completely monotonic functions involving gamma and polygamma functions, RGMIA Research Report Collection 9 (2006), no. 1, Article 15, 149–157; Available online at http://rgmia.org/v9n1.php.
  13. Huan-Nan Shi, Tie-Quan Xu and Feng Qi, Monotonicity results for arithmetic means of concave and convex functions, RGMIA Research Report Collection 9 (2006), no. 3, Article 6; Available online at http://rgmia.org/v9n3.php.
  14. Zhen-Gang Xiao, Zhi-Hua Zhang and Feng Qi, A type of mean values of several positive numbers with two parameters, RGMIA Research Report Collection 9 (2006), no. 2, Article 11, 301–318; Available online at http://rgmia.org/v9n2.php.
    • Cited by-被引用情况
      1. Zhi-Hua Zhang, Yu-Dong Wu, and H. M. Srivastava, Generalized Vandermonde determinants and mean values, Applied Mathematics and Computation 202 (2008) no. 1, 300–310; Available online at http://dx.doi.org/10.1016/j.amc.2008.02.016.
      2. Zhen-Gang Xiao, H. M. Srivastava, and Zhi-Hua Zhang, Further refinements of the Jensen inequalities based upon samples with repetitions, Mathematical and Computer Modelling 51 (2010), no. 5-6, 592–600; Available online at http://dx.doi.org/10.1016/j.mcm.2009.11.004.
      3. Ning-Guo Zheng, Zhi-Hua Zhang, and Xiao-Ming Zhang, Schur-convexity of two types of one-parameter mean values in $n$ variables, Journal of Inequalities and Applications 2007 (2007), Article ID 78175, 10 pages; Available online at http://dx.doi.org/10.1155/2007/78175.
      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.

Leave a comment

This site uses Akismet to reduce spam. Learn how your comment data is processed.