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Qi Feng

 Total publications: 200 (200) in MathSciNet: 82 (82) in zbMATH: 63 (63) in Web of Science: 66 (66) in Scopus: 69 (69) Cited articles: 89 Citations in Web of Science: 753 Citations in Scopus: 754

 Number of views: This page: 1254 Abstract pages: 154 Full texts: 45 References: 98
Professor
Doctor of Science
E-mail:
Website: https://qifeng618.wordpress.com
Keywords: Logarithmically completely monotonic functions.

Subject:

Analytic Combinatorics. Analytic Number Theory. Special Functions. Mathematical Inequalities

Main publications:
1. Feng Qi, “Pólya type integral inequalities: origin, variants, proofs, refinements, generalizations, equivalences, and applications”, Mathematical Inequalities & Applications, 18:1 (2015), 1–38
2. Feng Qi, “Bounds for the ratio of two gamma functions”, Journal of Inequalities and Applications, 2010:Article ID 493058 (2010), 84 pages
3. Feng Qi, “Integral representations and properties of Stirling numbers of the first kind”, Journal of Number Theory, 133:7 (2013), 2307–2319
4. Feng Qi, “Integral representations and complete monotonicity related to the remainder of Burnside's formula for the gamma function”, Journal of Computational and Applied Mathematics, 268 (2014), 155–167
5. Feng Qi, “An integral representation, complete monotonicity, and inequalities of Cauchy numbers of the second kind”, Journal of Number Theory, 144 (2014), 244–255

http://www.mathnet.ru/eng/person77149
 2018 1. Qi Feng, “An improper integral, the beta function, the Wallis ratio, and the Catalan numbers”, Probl. anal. Issues Anal., 7(25):1 (2018), 104–115 2015 2. Feng Qi, “Complete monotonicity of a function involving the tri- and tetra-gamma functions”, Proceedings of the Jangjeon Mathematical Society, 18:2 (2015), 253–264     (cited: 4) 3. Feng Qi, “Derivatives of tangent function and tangent numbers”, Applied Mathematics and Computation, 268 (2015), 844–858     (cited: 23)   (cited: 20) 4. Feng Qi, “Pólya type integral inequalities: origin, variants, proofs, refinements, generalizations, equivalences, and applications”, Mathematical Inequalities & Applications, 18:1 (2015), 1–38     (cited: 2)     (cited: 1)   (cited: 1) 5. Feng Qi, “Properties of modified Bessel functions and completely monotonic degrees of differences between exponential and trigamma functions”, Mathematical Inequalities & Applications, 18:2 (2015), 493–518     (cited: 4)   (cited: 14)   (cited: 12) 6. Feng Qi, Dae San Kim, Tae-Kyun Kim, and Dmitry V. Dolgy, “Multiple-poly-Bernoulli polynomials of the second kind”, Advanced Studies in Contemporary Mathematics, 25:1 (2015), 1–7         (cited: 4) 7. Feng Qi and Wen-Hui Li, “A logarithmically completely monotonic function involving the ratio of gamma functions”, Journal of Applied Analysis and Computation, 5:4 (2015), 626–634     (cited: 18)   (cited: 15) 8. Feng Qi and Cristinel Mortici, “Some best approximation formulas and inequalities for the Wallis ratio”, Applied Mathematics and Computation, 253 (2015), 363–368     (cited: 4)   (cited: 14)   (cited: 12) 9. Feng Qi and Xiao-Jing Zhang, “An integral representation, some inequalities, and complete monotonicity of the Bernoulli numbers of the second kind”, Bulletin of the Korean Mathematical Society, 52:3 (2015), 987–998     (cited: 14)   (cited: 13) 10. Feng Qi, Xiao-Jing Zhang, and Wen-Hui Li, “An elementary proof of the weighted geometric mean being a Bernstein function”, University Politehnica of Bucharest Scientific Bulletin Series A—Applied Mathematics and Physics, 77:1 (2015), 35–38   (cited: 1)   (cited: 8) 11. Feng Qi and Miao-Miao Zheng, “Explicit expressions for a family of the Bell polynomials and applications”, Applied Mathematics and Computation, 258 (2015), 597–607     (cited: 2)   (cited: 17)   (cited: 15) 12. Ling Chun and Feng Qi, “Inequalities of Simpson type for functions whose third derivatives are extended $s$-convex functions and applications to means”, Journal of Computational Analysis and Applications, 19:3 (2015), 555–569     (cited: 3) 13. Bai-Ni Guo and Feng Qi, “A new explicit formula for the Bernoulli and Genocchi numbers in terms of the Stirling numbers”, Global Journal of Mathematical Analysis, 3:1 (2015), 33–36     (cited: 13) 14. Bai-Ni Guo and Feng Qi, “An explicit formula for Bernoulli numbers in terms of Stirling numbers of the second kind”, Journal of Analysis & Number Theory, 3:1 (2015), 27–30 15. Bai-Ni Guo and Feng Qi, “Logarithmically complete monotonicity of a power-exponential function involving the logarithmic and psi functions”, Global Journal of Mathematical Analysis, 3:2 (2015), 77–80 16. Bai-Ni Guo and Feng Qi, “On the increasing monotonicity of a sequence originating from computation of the probability of intersecting between a plane couple and a convex body”, Turkish Journal of Analysis and Number Theory, 3:1 (2015), 21–23 17. Bai-Ni Guo and Feng Qi, “On the Wallis formula”, International Journal of Analysis and Applications, 8:1 (2015), 30–38   (cited: 7)   (cited: 2) 18. Bai-Ni Guo, Feng Qi, and Qiu-Ming Luo, “The additivity of polygamma functions”, Filomat, 29:5 (2015), 1063–1066     (cited: 2)   (cited: 2) 19. Bai-Ni Guo, Feng Qi, Jiao-Lian Zhao, and Qiu-Ming Luo, “Sharp inequalities for polygamma functions”, Mathematica Slovaca, 65:1 (2015), 103–120     (cited: 1)     (cited: 11) 20. Xu-Yang Guo, Feng Qi, and Bo-Yan Xi, “Some new Hermite–Hadamard type inequalities for geometrically quasi-convex functions on co-ordinates”, Journal of Nonlinear Science and Applications, 8:5 (2015), 740–749   (cited: 4)   (cited: 4) 21. Chun-Fu Wei and Feng Qi, “Several closed expressions for the Euler numbers”, Journal of Inequalities and Applications, 2015 (2015), 219 , 8 pp.     (cited: 2)     (cited: 18)   (cited: 21) 22. Bo-Yan Xi and Feng Qi, “Inequalities of Hermite–Hadamard type for extended $s$-convex functions and applications to means”, Journal of Nonlinear and Convex Analysis, 16:5 (2015), 873–890     (cited: 19)   (cited: 16) 23. Hong-Ping Yin and Feng Qi, “Hermite–Hadamard type inequalities for the product of $(\alpha,m)$-convex functions”, Journal of Nonlinear Science and Applications, 8:3 (2015), 231–236       (cited: 3)   (cited: 3) 24. Dmitry V. Dolgy, Taekyun Kim, Feng Qi, and Jong Jin Seo, “A note on three variable symmetric identities for modified $q$-Bernoulli polynomials arising from bosonic $p$-adic integral on $\mathbb{Z}_p$”, Applied Mathematical Sciences, 9:92 (2015), 4575–4582 25. Dmitry V. Dolgy, Taekyun Kim, Feng Qi, and Jong Jin Seo, “A note on three variable symmetric identities for $q$-Euler polynomials arising from fermionic $p$-adic integral on $\mathbb{Z}_p$”, Applied Mathematical Sciences, 9:77 (2015), 3819–3826 26. Ai-Ping Ji, Tian-Yu Zhang, and Feng Qi, “Integral inequalities of Hermite–Hadamard type for $(\alpha,m)$-GA-convex functions”, Journal of Computational Analysis and Applications, 18:2 (2015), 255–265       (cited: 1) 27. Lei-Lei Wang, Bo-Yan Xi, and Feng Qi, “On $\alpha$-locally doubly diagonally dominant matrices”, University Politehnica of Bucharest Scientific Bulletin Series A—Applied Mathematics and Physics, 77:2 (2015), 163–172 28. Shu-Hong Wang, Bo-Yan Xi, and Feng Qi, “Some integral inequalities in terms of supremum norms of $n$-time differentiable functions”, Mathematical Science Letters, 4:3 (2015), 1–6 29. Hong-Ping Yin, Huan-Nan Shi, and Feng Qi, “On Schur $m$-power convexity for ratios of some means”, Journal of Mathematical Inequalities, 9:1 (2015), 145–153         (cited: 5)   (cited: 4) 30. Feng Qi, “Diagonal recurrence relations for the Stirling numbers of the first kind”, Contributions to Discrete Mathematics, 10 (2015) 31. Feng Qi and Bai-Ni Guo, “Remarks on complete monotonicity of a function involving the gamma function”, Problemy Analiza-Issues of Analysis, 3 (22):1 (2015) 32. Feng Qi and Wen-Hui Li, “Integral representations and properties of some functions involving the logarithmic function”, Filomat, 29 (2015) 33. Feng Qi, Tian-Yu Zhang, and Bo-Yan Xi, “Integral inequalities of Hermite–Hadamard type for functions whose first derivatives are of convexity”, Ukrainian Mathematical Journal, 67:4 (2015) 34. Bai-Ni Guo and Feng Qi, “Six proofs for an identity of the Lah numbers”, Online Journal of Analytic Combinatorics, 10 (2015) , 5 pp.   (cited: 1) 35. Xu-Yang Guo, Feng Qi, and Bo-Yan Xi, “Some new Hermite–Hadamard type inequalities for differentiable co-ordinated convex functions”, Cogent Mathematics, 2015 36. Wei-Dong Jiang and Feng Qi, “A double inequality for the combination of Toader mean and the arithmetic mean in terms of the contraharmonic mean”, Publications de l'Institut Mathématique (Beograd), 98 (112) (2015) 37. Wei-Dong Jiang and Feng Qi, “Sharp bounds for the Neuman-Sándor mean in terms of the power and contraharmonic means”, Cogent Mathematics, 2015, no. 2, 995951 , 7 pp. 38. Cristinel Mortici and Feng Qi, “Asymptotic formulas and inequalities for the gamma function in terms of the tri-gamma function”, Results in Mathematics, 67:3-4 (2015), 395–402         (cited: 7)   (cited: 6) 39. Jü Hua, Bo-Yan Xi, and Feng Qi, “Some new inequalities of Simpson type for strongly $s$-convex functions”, Afrika Matematika, 26 (2015)       (cited: 2) 40. Muhammad Aslam Noor, Khalida Inayat Noor, Muhammad Uzair Awan, and Feng Qi, “Hermite–Hadamard type inequalities for logarithmically $h$-preinvex functions”, Cogent Mathematics, 2015, no. 2, 1035856 , 10 pp. 41. Feng Qi, A double inequality for ratios of the Bernoulli numbers, ResearchGate Dataset, 2015 42. Feng Qi, A logarithmically completely monotonic function involving the gamma function and originating from the Catalan numbers, ResearchGate Research, 2015 43. Feng Qi, On sum of the Lah numbers and zeros of the Kummer confluent hypergeometric function, ResearchGate Research, 2015 44. Feng Qi, Some inequalities for the Bell numbers, ResearchGate Technical Report, 2015 45. Feng Qi and Robin J. Chapman, Two closed forms for the Bernoulli polynomials, 2015 , arXiv: 1506.02137 46. Feng Qi and Bai-Ni Guo, Integral representations and complete monotonicity of remainders of the Binet and Stirling formulas for the gamma function, ResearchGate Technical Report, 2015 47. Feng Qi and Bai-Ni Guo, Remarks on complete monotonicity of a function involving the gamma function, ResearchGate Dataset, 2015 48. Feng Qi, Fang-Fang Liu, and Xiao-Ting Shi, Comments on two completely monotonic functions involving the $q$-trigamma function, ResearchGate Dataset, 2015 49. Feng Qi and Cristinel Mortici, Some inequalities for the trigamma function in terms of the digamma function, 2015 , arXiv: 1503.03020 50. Feng Qi, Cristinel Mortici, and Bai-Ni Guo, Some properties of a sequence arising from computation of the intersecting probability between a plane couple and a convex body, ResearchGate Research, 2015 51. Feng Qi, Xiao-Ting Shi, and Fang-Fang Liu, Expansions of the exponential and the logarithm of expansions and applications, ResearchGate Research, 2015 52. Feng Qi, Xiao-Ting Shi, and Fang-Fang Liu, Several identities involving the falling and rising factorials and the Cauchy, Lah, and Stirling numbers, ResearchGate Research, 2015 53. Feng Qi, Xiao-Ting Shi, Fang-Fang Liu, and Zhen-Hang Yang, A double inequality for an integral mean in terms of the exponential and logarithmic means, ResearchGate Research, 2015 54. Feng Qi and Chun-Fu Wei, Several closed expressions for the Euler numbers, ResearchGate Technical Report, 2015 55. Bai-Ni Guo and Feng Qi, Explicit formulas for special values of the Bell polynomials of the second kind and the Euler numbers, ResearchGate Technical Report, 2015 56. Bai-Ni Guo and Feng Qi, Logarithmically complete monotonicity of a power-exponential function involving the logarithmic and psi functions, ResearchGate Technical Report, 2015 57. Bai-Ni Guo and Feng Qi, On inequalities for the exponential and logarithmic functions and means, ResearchGate Technical Report, 2015 58. Bai-Ni Guo and Feng Qi, Some inequalities and absolute monotonicity for modified Bessel functions of the first kind, ResearchGate Research, 2015 59. Xiao-Ting Shi, Fang-Fang Liu, and Feng Qi, An integral representation of the Catalan numbers, ResearchGate Research, 2015 60. Bo-Yan Xi and Feng Qi, Some integral inequalities of Hermite–Hadamard type for $s$-logarithmically convex functions, ResearchGate Dataset, 2015 61. Bo-Yan Xi, Shu-Ping Bai, and Feng Qi, Some new inequalities of Hermite–Hadamard type for $(\alpha,m_1)$-$(s,m_2)$-convex functions on co-ordinates, ResearchGate Dataset, 2015 62. Qi Feng, N. Guo, “Remarks on complete monotonicity of a function involving the Gamma function”, Probl. anal. Issues Anal., 4(22):1 (2015), 66–72 63. B.-Ya. Xi, F. Qi, “Integral inequalities of Hermite – Hadamard type for $((\alpha,m), \log)$-convex functions on co–ordinates”, Probl. anal. Issues Anal., 4(22):2 (2015), 73–92 2014 64. Feng Qi, “A completely monotonic function related to the $q$-trigamma function”, University Politehnica of Bucharest Scientific Bulletin Series A—Applied Mathematics and Physics, 76:1 (2014), 107–114   (cited: 4)   (cited: 7) 65. Feng Qi, “Absolute monotonicity of a function involving the exponential function”, Global Journal of Mathematical Analysis, 2:3 (2014), 184–203 66. Feng Qi, “An integral representation, complete monotonicity, and inequalities of Cauchy numbers of the second kind”, Journal of Number Theory, 144 (2014), 244–255     (cited: 8)     (cited: 15)   (cited: 14) 67. Feng Qi, “Bounds for the ratio of two gamma functions: from Gautschi's and Kershaw's inequalities to complete monotonicity”, Turkish Journal of Analysis and Number Theory, 2:5 (2014), 152–164 68. Feng Qi, “Explicit formulas for computing Bernoulli numbers of the second kind and Stirling numbers of the first kind”, Filomat, 28:2 (2014), 319–327     (cited: 24)   (cited: 25) 69. Feng Qi, “Integral representations and complete monotonicity related to the remainder of Burnside's formula for the gamma function”, Journal of Computational and Applied Mathematics, 268 (2014), 155–167     (cited: 2)     (cited: 17)   (cited: 15) 70. Feng Qi and Bai-Ni Guo, “Alternative proofs of a formula for Bernoulli numbers in terms of Stirling numbers”, Analysis—International mathematical journal of analysis and its applications, 34:3 (2014), 311–317     (cited: 3) 71. Feng Qi, Muhammad Amer Latif, Wen-Hui Li, and Sabir Hussain, “Some integral inequalities of Hermite–Hadamard type for functions whose $n$-times derivatives are $(\alpha,m)$-convex”, Turkish Journal of Analysis and Number Theory, 2:4 (2014), 140–146 72. Feng Qi and Wen-Hui Li, “A unified proof of several inequalities and some new inequalities involving Neuman-Sándor mean”, Miskolc Mathematical Notes, 15:2 (2014), 665–675   (cited: 1)     (cited: 5)   (cited: 5) 73. Feng Qi and Qiu-Ming Luo, “Complete monotonicity of a function involving the gamma function and applications”, Periodica Mathematica Hungarica, 69:2 (2014), 159–169     (cited: 3)     (cited: 8)   (cited: 7) 74. Feng Qi and Shu-Hong Wang, “Complete monotonicity, completely monotonic degree, integral representations, and an inequality related to the exponential, trigamma, and modified Bessel functions”, Global Journal of Mathematical Analysis, 2:3 (2014), 91–97 75. Feng Qi and Bo-Yan Xi, “Some Hermite–Hadamard type inequalities for geometrically quasi-convex functions”, Proceedings of the Indian Academy of Sciences (Mathematical Sciences), 124:3 (2014), 333–342       (cited: 7)   (cited: 5) 76. Feng Qi and Xiao-Jing Zhang, “Complete monotonicity of a difference between the exponential and trigamma functions”, Journal of the Korea Society of Mathematical Education Series B: The Pure and Applied Mathematics, 21:2 (2014), 141–145     (cited: 2) 77. Feng Qi, Xiao-Jing Zhang, and Wen-Hui Li, “An integral representation for the weighted geometric mean and its applications”, Acta Mathematica Sinica-English Series, 30:1 (2014), 61–68     (cited: 2)     (cited: 18)   (cited: 14) 78. Feng Qi, Xiao-Jing Zhang, and Wen-Hui Li, “Lévy-Khintchine representation of the geometric mean of many positive numbers and applications”, Mathematical Inequalities & Applications, 17:2 (2014), 719–729     (cited: 1)     (cited: 17)   (cited: 13) 79. Feng Qi, Xiao-Jing Zhang, and Wen-Hui Li, “Lévy-Khintchine representations of the weighted geometric mean and the logarithmic mean”, Mediterranean Journal of Mathematics, 11:2 (2014), 315–327     (cited: 2)     (cited: 18)   (cited: 14) 80. Feng Qi and Miao-Miao Zheng, “Absolute monotonicity of functions related to estimates of first eigenvalue of Laplace operator on Riemannian manifolds”, International Journal of Analysis and Applications, 6:2 (2014), 123–131 81. Bai-Ni Guo and Feng Qi, “Alternative proofs of a formula for Bernoulli numbers in terms of Stirling numbers”, Analysis—International mathematical journal of analysis and its applications, 34:2 (2014), 187–193     (cited: 4) 82. Bai-Ni Guo and Feng Qi, “An explicit formula for Bell numbers in terms of Stirling numbers and hypergeometric functions”, Global Journal of Mathematical Analysis, 2:4 (2014), 243–248 83. Bai-Ni Guo and Feng Qi, “Explicit formulae for computing Euler polynomials in terms of Stirling numbers of the second kind”, Journal of Computational and Applied Mathematics, 272 (2014), 251–257     (cited: 4)     (cited: 18)   (cited: 16) 84. Bai-Ni Guo and Feng Qi, “Sharp inequalities for the psi function and harmonic numbers”, Analysis—International mathematical journal of analysis and its applications, 34:2 (2014), 201–208     (cited: 14) 85. Bai-Ni Guo and Feng Qi, “Some identities and an explicit formula for Bernoulli and Stirling numbers”, Journal of Computational and Applied Mathematics, 255 (2014), 568–579     (cited: 10)     (cited: 28)   (cited: 29) 86. Bai-Ni Guo and Feng Qi, “Some integral representations and properties of Lah numbers”, Journal for Algebra and Number Theory Academia, 4:3 (2014), 77–87 87. Yun Hua and Feng Qi, “A double inequality for bounding Toader mean by the centroidal mean”, Proceedings of the Indian Academy of Sciences (Mathematical Sciences), 124:4 (2014), 527–531     (cited: 3)     (cited: 10)   (cited: 12) 88. Yun Hua and Feng Qi, “The best bounds for Toader mean in terms of the centroidal and arithmetic means”, Filomat, 28:4 (2014), 775–780     (cited: 15)   (cited: 17) 89. Wei-Dong Jiang and Feng Qi, “Sharp bounds for Neuman-Sándor's mean in terms of the root-mean-square”, Periodica Mathematica Hungarica, 69:2 (2014), 134–138     (cited: 2)     (cited: 3)   (cited: 3) 90. Valmir Krasniqi and Feng Qi, “Complete monotonicity of a function involving the $p$-psi function and alternative proofs”, Global Journal of Mathematical Analysis, 2:3 (2014), 204–208 91. Shu-Hong Wang and Feng Qi, “Hermite–Hadamard type inequalities for $n$-times differentiable and preinvex functions”, Journal of Inequalities and Applications, 2014 (2014), 49 , 9 pp.     (cited: 2)     (cited: 9)   (cited: 11) 92. Ying Wu, Feng Qi, and Huan-Nan Shi, “Schur-harmonic convexity for differences of some special means in two variables”, Journal of Mathematical Inequalities, 8:2 (2014), 321–330         (cited: 3)   (cited: 3) 93. Bo-Yan Xi and Feng Qi, “Hermite–Hadamard type inequalities for geometrically $r$-convex functions”, Studia Scientiarum Mathematicarum Hungarica, 51:4 (2014), 530–546     (cited: 1)     (cited: 12)   (cited: 7) 94. Bo-Yan Xi and Feng Qi, “Some inequalities of Qi type for double integrals”, Journal of the Egyptian Mathematical Society, 22:3 (2014), 337–340     (cited: 1) 95. Bo-Yan Xi and Feng Qi, “Some new inequalities of Qi type for definite integrals”, International Journal of Analysis and Applications, 5:1 (2014), 20–26 96. Li Yin and Feng Qi, “Some inequalities for complete elliptic integrals”, Applied Mathematics E-Notes, 14 (2014), 192–199   (cited: 2) 97. Tian-Yu Zhang and Feng Qi, “Integral inequalities of Hermite–Hadamard type for $m$-AH convex functions”, Turkish Journal of Analysis and Number Theory, 2:3 (2014), 60–64 98. Jü Hua, Bo-Yan Xi, and Feng Qi, “Hermite–Hadamard type inequalities for geometric-arithmetically $s$-convex functions”, Communications of the Korean Mathematical Society, 29:1 (2014), 51–63       (cited: 7) 99. Jü Hua, Bo-Yan Xi, and Feng Qi, “Inequalities of Hermite–Hadamard type involving an $s$-convex function with applications”, Applied Mathematics and Computation, 246 (2014), 752–760       (cited: 9)   (cited: 8) 100. Wei-Dong Jiang, Qiu-Ming Luo, and Feng Qi, “Refinements and sharpening of some Huygens and Wilker type inequalities”, Turkish Journal of Analysis and Number Theory, 2:4 (2014), 134–139 101. Wei-Dong Jiang, Da-Wei Niu, and Feng Qi, “Some inequalities of Hermite–Hadamard type for $r$-$\varphi$-preinvex functions”, Tamkang Journal of Mathematics, 45:1 (2014), 31–38         (cited: 6) 102. Da-Wei Niu, Yue-Jin Zhang, and Feng Qi, “A double inequality for the harmonic number in terms of the hyperbolic cosine”, Turkish Journal of Analysis and Number Theory, 2:6 (2014), 223–225 103. De-Ping Shi, Bo-Yan Xi, and Feng Qi, “Hermite–Hadamard type inequalities for $(m,h_1,h_2)$-convex functions via Riemann–Liouville fractional integrals”, Turkish Journal of Analysis and Number Theory, 2:1 (2014), 22–27 104. De-Ping Shi, Bo-Yan Xi, and Feng Qi, “Hermite–Hadamard type inequalities for Riemann–Liouville fractional integrals of $(\alpha,m)$-convex functions”, Fractional Differential Calculus, 4:2 (2014), 33–43 105. Ye Shuang, Yan Wang, and Feng Qi, “Some inequalities of Hermite–Hadamard type for functions whose third derivatives are $(\alpha,m)$-convex”, Journal of Computational Analysis and Applications, 17:2 (2014), 272–279   (cited: 3)     (cited: 7)   (cited: 8) 106. Lei-Lei Wang, Bo-Yan Xi, and Feng Qi, “Necessary and sufficient conditions for identifying strictly geometrically $\alpha$-bidiagonally dominant matrices”, University Politehnica of Bucharest Scientific Bulletin Series A—Applied Mathematics and Physics, 76:4 (2014), 57–66 107. Yan Wang, Bo-Yan Xi, and Feng Qi, “Hermite–Hadamard type integral inequalities when the power of the absolute value of the first derivative of the integrand is preinvex”, Le Matematiche, 69:1 (2014), 89–96     (cited: 2) 108. Yan Wang, Miao-Miao Zheng, and Feng Qi, “Integral inequalities of Hermite–Hadamard type for functions whose derivatives are $(\alpha,m)$-preinvex”, Journal of Inequalities and Applications, 2014 (2014), 97 , 10 pp.     (cited: 1)   (cited: 3)   (cited: 10) 109. Bo-Yan Xi, Jü Hua, and Feng Qi, “Hermite–Hadamard type inequalities for extended $s$-convex functions on the co-ordinates in a rectangle”, Journal of Applied Analysis, 20:1 (2014), 29–39     (cited: 4)     (cited: 15) 110. Bo-Yan Xi, Shu-Hong Wang, and Feng Qi, “Properties and inequalities for the $h$- and $(h,m)$-logarithmically convex functions”, Creative Mathematics and Informatics, 23:1 (2014), 123–130   (cited: 1) 111. Bo-Yan Xi, Shu-Hong Wang, and Feng Qi, “Some inequalities for $(h,m)$-convex functions”, Journal of Inequalities and Applications, 2014 (2014), 100 , 12 pp.       (cited: 2)   (cited: 3) 112. Li Yin, Li-Guo Huang, and Feng Qi, “Some inequalities for the generalized trigonometric and hyperbolic functions”, Turkish Journal of Analysis and Number Theory, 2:3 (2014), 96–101     (cited: 1) 113. Feng Qi, Qiu-Ming Luo, and Bai-Ni Guo, “The function $(b^x-a^x)/x$: Ratio's properties”, Analytic Number Theory, Approximation Theory, and Special Functions, eds. G. V. Milovanović and M. Th. Rassias, Springer, 2014, 485–494     (cited: 3)   (cited: 8) 114. Bai-Ni Guo and Feng Qi, “A class of completely monotonic functions involving the gamma and polygamma functions”, Cogent Mathematics, 2014, no. 1, 982896 , 8 pp. 115. Feng Qi, A double inequality for ratios of Bernoulli numbers, ResearchGate Dataset, 2014 116. Feng Qi, A recurrence formula, some inequalities, and monotonicity related to Stirling numbers of the second kind, 2014 , arXiv: 1402.2040 117. Feng Qi, An explicit formula for Bell numbers in terms of Stirling numbers and hypergeometric functions, 2014 , arXiv: 1402.2361 118. Feng Qi, An explicit formula for Bernoulli numbers in terms of Stirling numbers of the second kind, 2014 , arXiv: 1401.4255 119. Feng Qi, An explicit formula for computing Bell numbers in terms of Lah and Stirling numbers, 2014 , arXiv: 1401.1625 120. Feng Qi, An explicit formula for computing Bernoulli numbers of the second kind in terms of Stirling numbers of the first kind, 2014 , arXiv: 1401.4934 121. Feng Qi, An integral representation, complete monotonicity, and inequalities of Cauchy numbers of the second kind, 2014 , arXiv: 1402.2358 122. Feng Qi, An interesting identity of Lah numbers, 2014 , arXiv: 1402.2035 123. Feng Qi, Integral representations and complete monotonicity related to the remainder of Burnside's formula for the gamma function, 2014 , arXiv: 1403.0278 124. Feng Qi and Wen-Hui Li, Integral representations and properties of some functions involving the logarithmic function, ResearchGate Dataset, 2014 125. Feng Qi and Miao-Miao Zheng, Explicit expressions for a family of Bell polynomials and derivatives of some functions, 2014 , arXiv: 1404.6734 126. Bai-Ni Guo and Feng Qi, A new explicit formula for Bernoulli and Genocchi numbers in terms of Stirling numbers, 2014 , arXiv: 1407.7726 127. Bai-Ni Guo and Feng Qi, Alternative proofs of a formula for Bernoulli numbers in terms of Stirling numbers, 2014 , arXiv: 1401.4257 128. Bai-Ni Guo and Feng Qi, On the increasing monotonicity of a sequence, ResearchGate Dataset, 2014 129. Bai-Ni Guo and Feng Qi, Some integral representations and properties of Lah numbers, 2014 , arXiv: 1402.2367 130. Yun Hua and Feng Qi, A double inequality for bounding Toader mean by the centroidal mean, 2014 , arXiv: 1402.5020 131. Wei-Dong Jiang and Feng Qi, Bounds for the combination of Toader mean and the arithmetic mean in terms of the contraharmonic mean, 2014 , arXiv: 1402.4561 132. Bo-Yan Xi and Feng Qi, Inequalities of Hermite–Hadamard type for extended $s$-convex functions and applications to means, 2014 , arXiv: 1406.5409 133. Bai-Ni Guo, István Mező, and Feng Qi, An explicit formula for Bernoulli polynomials in terms of $r$-Stirling numbers of the second kind, 2014 , arXiv: 1402.2340 2013 134. Feng Qi, “Integral representations and properties of Stirling numbers of the first kind”, Journal of Number Theory, 133:7 (2013), 2307–2319     (cited: 10)     (cited: 26)   (cited: 26) 135. Feng Qi, “Limit formulas for ratios between derivatives of the gamma and digamma functions at their singularities”, Filomat, 27:4 (2013), 601–604     (cited: 1)     (cited: 14)   (cited: 13) 136. Feng Qi and Christian Berg, “Complete monotonicity of a difference between the exponential and trigamma functions and properties related to a modified Bessel function”, Mediterranean Journal of Mathematics, 10:4 (2013), 1685–1696     (cited: 7)     (cited: 16)   (cited: 16) 137. Feng Qi, Pietro Cerone, and Sever S. Dragomir, “Complete monotonicity of a function involving the divided difference of psi functions”, Bulletin of the Australian Mathematical Society, 88:2 (2013), 309–319     (cited: 5)     (cited: 10)   (cited: 11) 138. Feng Qi and Qiu-Ming Luo, “Bounds for the ratio of two gamma functions: from Wendel's asymptotic relation to Elezović-Giordano-Pečarić's theorem”, Journal of Inequalities and Applications, 2013 (2013), 542 , 20 pp.     (cited: 7)   (cited: 29) 139. Feng Qi, Qiu-Ming Luo, and Bai-Ni Guo, “Complete monotonicity of a function involving the divided difference of digamma functions”, Science China Mathematics, 56:11 (2013), 2315–2325     (cited: 8)     (cited: 21)   (cited: 21) 140. Feng Qi and Bo-Yan Xi, “Some integral inequalities of Simpson type for GA-$\varepsilon$-convex functions”, Georgian Mathematical Journal, 20:4 (2013), 775–788     (cited: 4)     (cited: 25)   (cited: 32) 141. Rui-Fang Bai, Feng Qi, and Bo-Yan Xi, “Hermite–Hadamard type inequalities for the $m$- and $(\alpha,m)$-logarithmically convex functions”, Filomat, 27:1 (2013), 1–7     (cited: 15)     (cited: 56)   (cited: 67) 142. Shu-Ping Bai and Feng Qi, “Some inequalities for $(s_1,m_1)$-$(s_2,m_2)$-convex functions on the co-ordinates”, Global Journal of Mathematical Analysis, 1:1 (2013), 22–28 143. Ling Chun and Feng Qi, “Integral inequalities of Hermite–Hadamard type for functions whose third derivatives are convex”, Journal of Inequalities and Applications, 2013 (2013), 451 , 10 pp.     (cited: 7)   (cited: 13)   (cited: 10) 144. Bai-Ni Guo and Feng Qi, “Monotonicity and logarithmic convexity relating to the volume of the unit ball”, Optimization Letters, 7:6 (2013), 1139–1153     (cited: 8)     (cited: 6)   (cited: 7) 145. Bai-Ni Guo and Feng Qi, “Refinements of lower bounds for polygamma functions”, Proceedings of the American Mathematical Society, 141:3 (2013), 1007–1015     (cited: 9)     (cited: 14)   (cited: 14) 146. Yun Hua and Feng Qi, “Sharp inequalities between the hyperbolic cosine function and the sine and cosine functions”, Pakistan Journal of Statistics, 29:3 (2013), 315–321     (cited: 1)   (cited: 1) 147. Wen-Hui Li and Feng Qi, “Some Hermite–Hadamard type inequalities for functions whose $n$-th derivatives are $(\alpha,m)$-convex”, Filomat, 27:8 (2013), 1575–1582     (cited: 7)     (cited: 11)   (cited: 8) 148. Wen-Hui Li, Feng Qi, and Bai-Ni Guo, “On proofs for monotonicity of a function involving the psi and exponential functions”, Analysis—International mathematical journal of analysis and its applications, 33:1 (2013), 45–50     (cited: 4)     (cited: 3) 149. Muhammad Aslam Noor, Feng Qi, and Muhammad Uzair Awan, “Some Hermite–Hadamard type inequalities for $\log$-$h$-convex functions”, Analysis—International mathematical journal of analysis and its applications, 33:4 (2013), 367–375 150. Shu-Hong Wang and Feng Qi, “Inequalities of Hermite–Hadamard type for convex functions which are $n$-times differentiable”, Mathematical Inequalities & Applications, 16:4 (2013), 1269–1278     (cited: 1)     (cited: 4)   (cited: 5) 151. Bo-Yan Xi and Feng Qi, “Convergence, monotonicity, and inequalities of sequences involving continued powers”, Analysis—International mathematical journal of analysis and its applications, 33:3 (2013), 235–242 152. Bo-Yan Xi and Feng Qi, “Hermite–Hadamard type inequalities for functions whose derivatives are of convexities”, Nonlinear Functional Analysis and Applications, 18:2 (2013), 163–176 153. Bo-Yan Xi and Feng Qi, “Integral inequalities of Simpson type for logarithmically convex functions”, Advanced Studies in Contemporary Mathematics, 23:4 (2013), 559–566       (cited: 6) 154. Bo-Yan Xi and Feng Qi, “Some Hermite–Hadamard type inequalities for differentiable convex functions and applications”, Hacettepe Journal of Mathematics and Statistics, 42:3 (2013), 243–257   (cited: 11)     (cited: 33) 155. Bo-Yan Xi and Feng Qi, “Some inequalities of Hermite–Hadamard type for $h$-convex functions”, Advances in Inequalities and Applications, 2:1 (2013), 1–15 156. Li Yin and Feng Qi, “Some integral inequalities on time scales”, Results in Mathematics, 64:3 (2013), 371–381     (cited: 1)     (cited: 2)   (cited: 5) 157. Serkan Araci, Mehmet Açikgöz, and Feng Qi, “On the $q$-Genocchi numbers and polynomials with weight zero and their applications”, Nonlinear Functional Analysis and Applications, 18:2 (2013), 193–203 158. Bai-Ni Guo, Qiu-Ming Luo, and Feng Qi, “Sharpening and generalizations of Shafer-Fink's double inequality for the arc sine function”, Filomat, 27:2 (2013), 261–265     (cited: 6)     (cited: 16)   (cited: 14) 159. Bai-Ni Guo, Jiao-Lian Zhao, and Feng Qi, “A completely monotonic function involving the tri- and tetra-gamma functions”, Mathematica Slovaca, 63:3 (2013), 469–478     (cited: 3)     (cited: 6)   (cited: 6) 160. Senlin Guo, Jian-Guo Xu, and Feng Qi, “Some exact constants for the approximation of the quantity in the Wallis' formula”, Journal of Inequalities and Applications, 2013 (2013), 67 , 7 pp.     (cited: 3)     (cited: 15)   (cited: 13) 161. Ye Shuang, Hong-Ping Yin, and Feng Qi, “Hermite–Hadamard type integral inequalities for geometric-arithmetically $s$-convex functions”, Analysis—International mathematical journal of analysis and its applications, 33:2 (2013), 197–208     (cited: 12) 162. Yan Sun, Hai-Tao Yang, and Feng Qi, “Some inequalities for multiple integrals on the $n$-dimensional ellipsoid, spherical shell, and ball”, Abstract and Applied Analysis, 2013 (2013), 904721 , 8 pp.     (cited: 1)       (cited: 1) 163. Yan Wang, Shu-Hong Wang, and Feng Qi, “Simpson type integral inequalities in which the power of the absolute value of the first derivative of the integrand is $s$-preinvex”, Facta Universitatis, Series Mathematics and Informatics, 28:2 (2013), 151–159   (cited: 3) 164. Bo-Yan Xi, Yan Wang, and Feng Qi, “Some integral inequalities of Hermite–Hadamard type for extended $(s,m)$-convex functions”, Transylvanian Journal of Mathematics and Mechanics, 5:1 (2013), 69–84   (cited: 7) 165. Li Yin, Da-Wei Niu, and Feng Qi, “Some new integral inequalities”, Tamkang Journal of Mathematics, 44:3 (2013), 279–288 166. Tian-Yu Zhang, Ai-Ping Ji, and Feng Qi, “Integral inequalities of Hermite–Hadamard type for harmonically quasi-convex functions”, Proceedings of the Jangjeon Mathematical Society, 16:3 (2013), 399–407   (cited: 3) 167. Tian-Yu Zhang, Ai-Ping Ji, and Feng Qi, “Some inequalities of Hermite–Hadamard type for GA-convex functions with applications to means”, Le Matematiche, 68:1 (2013), 229–239     (cited: 9) 168. Bo Zhang, Bo-Yan Xi, and Feng Qi, “Some properties and inequalities for $h$-geometrically convex functions”, Journal of Classical Analysis, 3:2 (2013), 101–108     (cited: 1) 169. Wei-Dong Jiang, Miao-Kun Wang, Yu-Ming Chu, Yue-Ping Jiang, and Feng Qi, “Convexity of the generalized sine function and the generalized hyperbolic sine function”, Journal of Approximation Theory, 174 (2013), 1–9     (cited: 5)     (cited: 12)   (cited: 14) 170. Serkan Araci, Mehmet Açikgöz, Feng Qi, and Hassan Jolany, “A note on the modified $q$-Genocchi numbers and polynomials with weight $(\alpha,\beta)$”, Fasciculi Mathematici, 51 (2013), 21–32 171. Bai-Ni Guo, Qiu-Ming Luo, and Feng Qi,, “Monotonicity results and inequalities for the inverse hyperbolic sine function”, Journal of Inequalities and Applications, 2013 (2013), 536 , 6 pp.         (cited: 1)   (cited: 1) 172. Feng Qi, A completely monotonic function involving the gamma and tri-gamma functions, 2013 , arXiv: 1307.5407 173. Feng Qi, A recurrence formula for the first kind Stirling numbers, 2013 , arXiv: 1310.5920 174. Feng Qi, An integral representation and properties of Bernoulli numbers of the second kind, 2013 , arXiv: 1301.7181 175. Feng Qi, Completely monotonic degree of a function involving the tri- and tetra-gamma functions, 2013 , arXiv: 1301.0154 176. Feng Qi, Complete monotonicity of a family of functions involving the tri- and tetra-gamma functions, 2013 , arXiv: 1301.0156 177. Feng Qi, Explicit formulas for computing Bernoulli numbers of the second kind and Stirling numbers of the first kind, 2013 , arXiv: 1301.6845 178. Feng Qi, Explicit formulas for computing Euler polynomials in terms of the second kind Stirling numbers, 2013 , arXiv: 1310.5921 179. Feng Qi, Properties of modified Bessel functions and completely monotonic degrees of differences between exponential and trigamma functions, 2013 , arXiv: 1302.6731 180. Feng Qi, Some completely monotonic functions involving the $q$-tri-gamma and $q$-tetra-gamma functions with applications, 2013 , arXiv: 1301.0155 181. Feng Qi, Serkan Araci, and Mehmet Açikgöz, Extended fermionic $p$-adic integrals on $\mathbb{Z}_p$, 2013 , arXiv: 1312.2040 182. Feng Qi and Cristinel Mortici, Some best approximation formulas and inequalities for Wallis ratio, 2013 , arXiv: 1312.3782 183. Feng Qi and Wen-Hui Li, A logarithmically completely monotonic function involving the ratio of two gamma functions and originating from the coding gain, 2013 , arXiv: 1303.1877 184. Feng Qi and Wen-Hui Li, Integral representations and properties of some functions involving the logarithmic function, 2013 , arXiv: 1305.4083 185. Feng Qi, Tian-Yu Zhang, and Bo-Yan Xi, Hermite–Hadamard type integral inequalities for functions whose first derivatives are of convexity, 2013 , arXiv: 1305.5933 186. Feng Qi and Xiao-Jing Zhang, An integral representation, some inequalities, and complete monotonicity of Bernoulli numbers of the second kind, 2013 , arXiv: 1301.6425 187. Feng Qi and Xiao-Jing Zhang, Complete monotonicity of a difference between the exponential and trigamma functions, 2013 , arXiv: 1303.1582 188. Feng Qi, Xiao-Jing Zhang, and Wen-Hui Li, A new proof of the geometric-arithmetic mean inequality by Cauchy's integral formula, 2013 , arXiv: 1301.6432 189. Feng Qi, Xiao-Jing Zhang, and Wen-Hui Li, Integral representations of the weighted geometric mean and the logarithmic mean, 2013 , arXiv: 1303.3122 190. Feng Qi, Xiao-Jing Zhang, and Wen-Hui Li, Some Bernstein functions and integral representations concerning harmonic and geometric means, 2013 , arXiv: 1301.6430 191. Feng Qi, Xiao-Jing Zhang, and Wen-Hui Li, The geometric mean is a Bernstein function, 2013 , arXiv: 1301.6848 192. Yun Hua and Feng Qi, The best bounds for Toader mean in terms of the centroidal and arithmetic means, 2013 , arXiv: 1303.2451 193. Wei-Dong Jiang and Feng Qi, Geometric convexity of the generalized sine and the generalized hyperbolic sine, 2013 , arXiv: 1301.3264 194. Wei-Dong Jiang and Feng Qi, Sharp bounds for Neuman-Sándor's mean in terms of the root-mean-square, 2013 , arXiv: 1301.3267 195. Wei-Dong Jiang and Feng Qi, Sharp bounds in terms of the power of the contra-harmonic mean for Neuman-Sándor mean, 2013 , arXiv: 1301.3554 196. Wen-Hui Li and Feng Qi, A unified proof of inequalities and some new inequalities involving Neuman-Sándor mean, 2013 , arXiv: 1312.3500 197. Wen-Hui Li and Feng Qi, Hermite–Hadamard type inequalities of functions whose derivatives of $n$-th order are $(\alpha,m)$-convex, 2013 , arXiv: 1308.2948 198. Cristinel Mortici and Feng Qi, Asymptotic formulas and inequalities for gamma function in terms of tri-gamma function, 2013 , arXiv: 1312.5881 199. Li Yin and Feng Qi, Some inequalities for complete elliptic integrals, 2013 , arXiv: 1301.4385 200. Ai-Ping Ji, Tian-Yu Zhang, and Feng Qi, Integral inequalities of Hermite–Hadamard type for $(\alpha,m)$-GA-convex functions, 2013 , arXiv: 1306.0852