Some papers and preprints in 2012 by Dr. Prof. Feng Qi

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Some papers and preprints in 2012

Twenty-six papers formally published in 2012

2012年正式发表的26篇论文

  1. Feng Qi and Bai-Ni Guo, Sharpening and generalizations of Shafer’s  inequality for the arc sine function, Integral Transforms and Special Functions 23 (2012), no. 2, 129–134; Available online at  http://dx.doi.org/10.1080/10652469.2011.564578.
  2. Feng Qi and Qiu-Ming Luo, Bounds for the ratio of two gamma functions—From Wendel’s and related inequalities to logarithmically completely monotonic functions, Banach Journal of Mathematical Analysis 6 (2012), no. 2, 132–158; Available online at http://dx.doi.org/10.15352/bjma/1342210165.
  3. Feng Qi, Qiu-Ming Luo, and Bai-Ni Guo, A simple proof of Oppenheim’s double inequality relating to the cosine and sine functions, Journal of Mathematical Inequalities 6 (2012), no. 4, 645–654; Available online at http://dx.doi.org/10.7153/jmi-06-63.
  4. Feng Qi, Chun-Fu Wei, and Bai-Ni Guo, Complete monotonicity of a function involving the ratio of gamma functions and applications, Banach Journal of Mathematical Analysis 6 (2012), no. 1, 35–44; Available online at http://dx.doi.org/10.15352/bjma/1337014663.
  5. Ling Chun and Feng Qi, Integral inequalities of Hermite-Hadamard type for functions whose $3$rd derivatives are $s$-convex, Applied Mathematics 3 (2012), no. 11, 1680–1685; Available online at http://dx.doi.org/10.4236/am.2012.311232.
  6. Bai-Ni Guo and Feng Qi, A completely monotonic function involving the tri-gamma function and with degree one, Applied Mathematics and Computation 218 (2012), no. 19, 9890–9897; Available online at http://dx.doi.org/10.1016/j.amc.2012.03.075.
  7. Bai-Ni Guo and Feng Qi, Monotonicity of functions connected with the gamma function and the volume of the unit ball, Integral Transforms and Special Functions 23 (2012), no. 9, 701–708; Available online at http://dx.doi.org/10.1080/10652469.2011.627511.
  8. Senlin Guo, Feng Qi, and H. M. Srivastava, A class of logarithmically completely monotonic functions related to the gamma function with applications, Integral Transforms and Special Functions 23 (2012), no. 8, 557–566; Available online at http://dx.doi.org/10.1080/10652469.2011.611331.
  9. Wei-Dong Jiang and Feng Qi, Some sharp inequalities involving Seiffert and other means and their concise proofs, Mathematical Inequalities & Applications 15 (2012), no. 4, 1007–1017; Available online at http://dx.doi.org/10.7153/mia-15-86.
  10. Ying Wu and Feng Qi, Schur-harmonic convexity for differences of some means, Analysis—International mathematical journal of analysis and its applications 32 (2012), no. 4, 263–270; Available online at http://dx.doi.org/10.1524/anly.2012.1171.
  11. Bo-Yan Xi and Feng Qi, Some integral inequalities of Hermite-Hadamard type for convex functions with applications to means, Journal of Function Spaces and Applications 2012 (2012), Article ID 980438, 14 pages; Available online at http://dx.doi.org/10.1155/2012/980438.
  12. Xiao-Jing Zhang, Feng Qi, and Wen-Hui Li, Properties of three functions relating to the exponential function and the existence of partitions of unity, International Journal of Open Problems in Computer Science and Mathematics 5 (2012), no. 3, 122–127; Available online at http://dx.doi.org/10.12816/0006128.
  13. Shu-Ping Bai, Shu-Hong Wang, and Feng Qi, Some Hermite-Hadamard type inequalities for $n$-time differentiable $(\alpha,m)$-convex functions, Journal of Inequalities and Applications 2012, 2012:267, 11 pages; Available online at http://dx.doi.org/10.1186/1029-242X-2012-267.
  14. H. M. Srivastava, Senlin Guo, and Feng Qi, Some properties of a class of functions related to completely monotonic functions, Computers & Mathematics with Applications 64 (2012), no. 6, 1649–1654; Available online athttp://dx.doi.org/10.1016/j.camwa.2012.01.016.
  15. Shu-Hong Wang, Bo-Yan Xi, and Feng Qi, On Hermite-Hadamard type inequalities for $(\alpha,m)$-convex functions, International Journal of Open Problems in Computer Science and Mathematics 5 (2012), no. 4, 47–56; Available online at http://dx.doi.org/10.12816/0006138.
  16. Shu-Hong Wang, Bo-Yan Xi, and Feng Qi, Some new inequalities of Hermite-Hadamard type for $n$-time differentiable functions which are $m$-convex, Analysis—International mathematical journal of analysis and its applications 32 (2012), no. 3, 247–262; Available online at http://dx.doi.org/10.1524/anly.2012.1167.
  17. Bo-Yan Xi, Rui-Fang Bai, and Feng Qi, Hermite-Hadamard type inequalities for the $m$- and $(\alpha,m)$-geometrically convex functions, Aequationes Mathematicae 84 (2012), no. 3, 261–269; Available online at http://dx.doi.org/10.1007/s00010-011-0114-x.
  18. Bo-Yan Xi, Shu-Hong Wang, and Feng Qi, Some inequalities of Hermite-Hadamard type for functions whose $3$rd derivatives are $P$-convex, Applied Mathematics 3 (2012), no. 12, 1898–1902; Available online at http://dx.doi.org/10.4236/am.2012.312260.
  19. Li Yin, Qiu-Ming Luo, and Feng Qi, Several integral inequalities on time scales, Journal of Mathematical Inequalities 6 (2012), no. 3, 419–429; Available online at http://dx.doi.org/10.7153/jmi-06-39.
  20. Tian-Yu Zhang, Ai-Ping Ji, and Feng Qi, On integral inequalities of Hermite-Hadamard type for $s$-geometrically convex functions, Abstract and Applied Analysis 2012 (2012), Article ID 560586, 14 pages; Available online at http://dx.doi.org/10.1155/2012/560586.
  21. Jiao-Lian Zhao, Bai-Ni Guo, and Feng Qi, A refinement of a double inequality for the gamma function, Publicationes Mathematicae Debrecen 80 (2012), no. 3-4, 333–342; Available online at http://dx.doi.org/10.5486/PMD.2012.5010.
  22. Jiao-Lian Zhao, Bai-Ni Guo, and Feng Qi, Complete monotonicity of two functions involving the tri- and tetra-gamma functions, Periodica Mathematica Hungarica 65 (2012), no. 1, 147–155; Available online at http://dx.doi.org/10.1007/s10998-012-9562-x.
  23. Wei-Dong Jiang, Da-Wei Niu, Yun Hua, and Feng Qi, Generalizations of Hermite-Hadamard inequality to $n$-time differentiable functions which are $s$-convex in the second sense, Analysis—International mathematical journal of analysis and its applications 32 (2012), 1001–1012; Available online at http://dx.doi.org/10.1524/anly.2012.1161.
  24. Jiao-Lian Zhao, Qiu-Ming Luo, Bai-Ni Guo, and Feng Qi, Logarithmic convexity of Gini means, Journal of Mathematical Inequalities 6 (2012), no. 4, 509–516; Available online at http://dx.doi.org/10.7153/jmi-06-48.
  25. Jiao-Lian Zhao, Qiu-Ming Luo, Bai-Ni Guo, and Feng Qi, Remarks on inequalities for the tangent function, Hacettepe Journal of Mathematics and Statistics 41 (2012), no. 4, 499–506.
  26. Jiao-Lian Zhao, Chun-Fu Wei, Bai-Ni Guo, and Feng Qi, Sharpening and generalizations of Carlson’s double inequality for the arc cosine function, Hacettepe Journal of Mathematics and Statistics 41 (2012), no. 2, 201–209.

Nine preprints announced in 2012

2012年以预印本形式发表的10篇论文

  1. Feng Qi, Eight interesting identities involving the exponential function, derivatives, and Stirling numbers of the second kind, Available online at http://arxiv.org/abs/1202.2006.
  2. Feng Qi, Explicit formulas for the $n$-th derivatives of the tangent and cotangent functions, Available online at http://arxiv.org/abs/1202.1205.
  3. Feng Qi, Limit formulas for ratios of derivatives of the gamma and digamma functions at their singularities, Available online at http://arxiv.org/abs/1202.4240.
  4. Feng Qi, Limit formulas for ratios of polygamma functions at their singularities, Available online at http://arxiv.org/abs/1202.2606.
  5. Feng Qi, Properties of three functions relating to the exponential function and the existence of partitions of unity, Available online at http://arxiv.org/abs/1202.0766.
  6. Feng Qi and Shu-Hong Wang, Complete monotonicity of a difference between the exponential and trigamma functions and completely monotonic degree of the exponential function, Available online at http://arxiv.org/abs/1210.2012.
  7. Wei-Dong Jiang and Feng Qi, Some sharp inequalities involving Seiffert and other means and their concise proofs, Available online at http://arxiv.org/abs/1201.6480.
  8. Serkan Aracı, Mehmet Açikgöz, and Feng Qi, On the $q$-Genocchi numbers and polynomials with weight zero and their applications, Available online at http://arxiv.org/abs/1202.2643.
  9. Wei-Dong Jiang, Jian Cao, and Feng Qi, Two sharp inequalities for bounding the Seiffert mean by the arithmetic, centroidal, and contra-harmonic means, Available online at http://arxiv.org/abs/1201.6432.
  10. Wei-Dong Jiang, Qiu-Ming Luo, and Feng Qi, Refinements and sharpening of some Huygens and Wilker type inequalities, Available online at http://arxiv.org/abs/1201.6477.

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