Some papers and preprints in 2014 by Dr. Prof. Feng Qi

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Some papers and preprints in 2014

Part One: Fifty Papers Formally Published in 2014

第一部分：2014年正式发表的50篇论文

  1. 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 (2014), no. 1, 107–114.
  2. Feng Qi, Absolute monotonicity of a function involving the exponential function, Global Journal of Mathematical Analysis 2 (2014), no. 3, 184–203; Available online at http://dx.doi.org/10.14419/gjma.v2i3.3062.
  3. Feng Qi, An integral representation, complete monotonicity, and inequalities of Cauchy numbers of the second kind, Journal of Number Theory 144 (2014), 244-255; Available online at http://dx.doi.org/10.1016/j.jnt.2014.05.009.
  4. 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 (2014), no. 5, 152–164; Available online at http://dx.doi.org/10.12691/tjant-2-5-1.
  5. Feng Qi, Explicit formulas for computing Bernoulli numbers of the second kind and Stirling numbers of the first kind, Filomat 28 (2014), no. 2, 319–327; Available online at http://dx.doi.org/10.2298/FIL1402319O.
  6. 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; Available online at http://dx.doi.org/10.1016/j.cam.2014.03.004.
  7. 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 (2014), no. 3, 311–317; Available online at http://dx.doi.org/10.1515/anly-2014-0003.
  8. 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 (2014), no. 4, 140–146; Available online at http://dx.doi.org/10.12691/tjant-2-4-7.
  9. Feng Qi and Wen-Hui Li, A unified proof of several inequalities and some new inequalities involving Neuman-Sándor mean, Miskolc Mathematical Notes 15 (2014), no. 2, 665–675; Available online at https://doi.org/10.18514/MMN.2014.1176.
  10. Feng Qi and Qiu-Ming Luo, Complete monotonicity of a function involving the gamma function and applications, Periodica Mathematica Hungarica 69 (2014), no. 2, 159–169; Available online at http://dx.doi.org/10.1007/s10998-014-0056-x.
  11. Feng Qi, Qiu-Ming Luo, and Bai-Ni Guo, The function $(b^x-a^x)/x$: Ratio’s properties, In: Analytic Number Theory, Approximation Theory, and Special Functions, G. V. Milovanović and M. Th. Rassias (Eds), Springer, 2014, pp. 485–494; Available online at http://dx.doi.org/10.1007/978-1-4939-0258-3_16.
  12. 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 (2014), no. 3, 91–97; Available online at http://dx.doi.org/10.14419/gjma.v2i3.2919.
  13. 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 (2014), no. 3, 333–342; Available online at http://dx.doi.org/10.1007/s12044-014-0182-7.
  14. Feng Qi and Xiao-Jing Zhang, Complete monotonicity of a difference between the exponential and trigamma functions, Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics 21 (2014), no. 2, 141–145; Available online at http://dx.doi.org/10.7468/jksmeb.2014.21.2.141.
  15. 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 (2014), no. 1, 61–68; Available online at http://dx.doi.org/10.1007/s10114-013-2547-8.
  16. 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 (2014), no. 2, 719–729; Available online at http://dx.doi.org/10.7153/mia-17-53.
  17. 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 (2014), no. 2, 315–327; Available online at http://dx.doi.org/10.1007/s00009-013-0311-z.
  18. 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 (2014), no. 2, 123–131.
  19. Bai-Ni Guo and Feng Qi, A class of completely monotonic functions involving the gamma and polygamma functions, Cogent Mathematics (2014), 1:982896, 8 pages; Availble online at http://dx.doi.org/10.1080/23311835.2014.982896.
  20. 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 (2014), no. 2, 187–193; Available online at http://dx.doi.org/10.1515/anly-2012-1238.
  21. 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 (2014), no. 4, 243–248; Available online at http://dx.doi.org/10.14419/gjma.v2i4.3310.
  22. 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; Available online at http://dx.doi.org/10.1016/j.cam.2014.05.018.
  23. 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 (2014), no. 2, 201–208; Available online at http://dx.doi.org/10.1515/anly-2014-0001.
  24. 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; Available online at http://dx.doi.org/10.1016/j.cam.2013.06.020.
  25. Bai-Ni Guo and Feng Qi, Some integral representations and properties of Lah numbers, Journal for Algebra and Number Theory Academia 4 (2014), no. 3, 77–87.
  26. 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 (2014), no. 4, 527–531; Available online at http://dx.doi.org/10.1007/s12044-014-0183-6.
  27. Yun Hua and Feng Qi, The best bounds for Toader mean in terms of the centroidal and arithmetic means, Filomat 28 (2014), no. 4, 775–780; Available online at http://dx.doi.org/10.2298/FIL1404775H.
  28. Wei-Dong Jiang and Feng Qi, Sharp bounds for Neuman-Sándor’s mean in terms of the root-mean-square, Periodica Mathematica Hungarica 69 (2014), no. 2, 134–138; Available online at http://dx.doi.org/10.1007/s10998-014-0057-9.
  29. Valmir Krasniqi and Feng Qi, Complete monotonicity of a function involving the $p$-psi function and alternative proofs, Global Journal of Mathematical Analysis 2 (2014), no. 3, 204–208; Available online at http://dx.doi.org/10.14419/gjma.v2i3.3096.
  30. 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 pages; Available online at http://dx.doi.org/10.1186/1029-242X-2014-49.
  31. 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 (2014), no. 2, 321–330; Available online at http://dx.doi.org/10.7153/jmi-08-23.
  32. Bo-Yan Xi and Feng Qi, Hermite-Hadamard type inequalities for geometrically $r$-convex functions, Studia Scientiarum Mathematicarum Hungarica 51 (2014), no. 4, 530–546; Available online at http://dx.doi.org/10.1556/SScMath.51.2014.4.1294.
  33. Bo-Yan Xi and Feng Qi, Some inequalities of Qi type for double integrals, Journal of the Egyptian Mathematical Society 22 (2014), no. 3, 337–340; Available online at http://dx.doi.org/10.1016/j.joems.2013.11.002.
  34. Bo-Yan Xi and Feng Qi, Some new inequalities of Qi type for definite integrals, International Journal of Analysis and Applications 5 (2014), no. 1, 20–26.
  35. Li Yin and Feng Qi, Some inequalities for complete elliptic integrals, Applied Mathematics E-Notes 14 (2014), 192–199.
  36. 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 (2014), no. 3, 60–64; Available online at http://dx.doi.org/10.12691/tjant-2-3-1.
  37. 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 (2014), no. 1, 51–63; Available online at http://dx.doi.org/10.4134/CKMS.2014.29.1.051.
  38. 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; Available online at http://dx.doi.org/10.1016/j.amc.2014.08.042.
  39. 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 (2014), no. 4, 134–139; Available online at http://dx.doi.org/10.12691/tjant-2-4-6.
  40. 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 (2014), no. 1, 31–38; available online at https://doi.org/10.5556/j.tkjm.45.2014.1261. (Retracted)
  41. 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 (2014), no. 6, 223–225; Available online at http://dx.doi.org/10.12691/tjant-2-6-6.
  42. 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 (2014), no. 1, 23–28; Available online at http://dx.doi.org/10.12691/tjant-2-1-6.
  43. 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 (2014), no. 2, 31–43; Available online at http://dx.doi.org/10.7153/fdc-04-02.
  44. 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 (2014), no. 2, 272–279.
  45. 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 (2014), no. 4, 57–66.
  46. 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 (2014), no. 1, 89–96; Available online at http://dx.doi.org/10.4418/2014.69.1.6.
  47. 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 pages; Available online at http://dx.doi.org/10.1186/1029-242X-2014-97.
  48. 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 (2014), no. 1, 29–39; Available online at http://dx.doi.org/10.1515/jaa-2014-0004.
  49. 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 (2014), no. 1, 123–130.
  50. 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 pages; Available online at http://dx.doi.org/10.1186/1029-242X-2014-100.
  51. 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 (2014), no. 3, 96–101; Available online at http://dx.doi.org/10.12691/tjant-2-3-8.

Part Two: Twenty-one Preprints Published in 2014

第二部分：2014年以预印本形式发表的21篇论文

  1. Feng Qi, A double inequality for ratios of Bernoulli numbers, ResearchGate Preprint (2014), available online at http://dx.doi.org/10.13140/2.1.2367.2962.
  2. Feng Qi, A double inequality for ratios of Bernoulli numbers, RGMIA Research Report Collection 17 (2014), Article 103, 4 pages; Available online at http://rgmia.org/v17.php.
  3. Feng Qi, A recurrence formula, some inequalities, and monotonicity related to Stirling numbers of the second kind, available online at http://arxiv.org/abs/1402.2040.
  4. Feng Qi, An explicit formula for Bell numbers in terms of Stirling numbers and hypergeometric functions, available online at http://arxiv.org/abs/1402.2361.
  5. Feng Qi, An explicit formula for Bernoulli numbers in terms of Stirling numbers of the second kind, available online at http://arxiv.org/abs/1401.4255.
  6. Feng Qi, An explicit formula for computing Bell numbers in terms of Lah and Stirling numbers, available online at http://arxiv.org/abs/1401.1625.
  7. Feng Qi, An explicit formula for computing Bernoulli numbers of the second kind in terms of Stirling numbers of the first kind, available online at http://arxiv.org/abs/1401.4934.
  8. Feng Qi, An integral representation, complete monotonicity, and inequalities of Cauchy numbers of the second kind, available online at http://arxiv.org/abs/1402.2358.
  9. Feng Qi, An interesting identity of Lah numbers, available online at http://arxiv.org/abs/1402.2035.
  10. Feng Qi, How and what does it look like? ResearchGate Dataset (2014), available online at http://dx.doi.org/10.13140/2.1.4833.3448.
  11. Feng Qi, Integral representations and complete monotonicity related to the remainder of Burnside’s formula for the gamma function, available online at http://arxiv.org/abs/1403.0278.
  12. Feng Qi and Wen-Hui Li, Integral representations and properties of some functions involving the logarithmic function, ResearchGate Preprint (2014), available online at http://dx.doi.org/10.13140/2.1.1315.1367.
  13. Feng Qi and Miao-Miao Zheng, Explicit expressions for a family of Bell polynomials and derivatives of some functions, available online at http://arxiv.org/abs/1404.6734.
  14. Bai-Ni Guo and Feng Qi, A new explicit formula for Bernoulli and Genocchi numbers in terms of Stirling numbers, available online at http://arxiv.org/abs/1407.7726.
  15. Bai-Ni Guo and Feng Qi, Alternative proofs of a formula for Bernoulli numbers in terms of Stirling numbers, available online at http://arxiv.org/abs/1401.4257.
  16. Bai-Ni Guo and Feng Qi, On the increasing monotonicity of a sequence, ResearchGate Preprint (2014), available online at http://dx.doi.org/10.13140/2.1.1791.3925.
  17. Bai-Ni Guo and Feng Qi, Some integral representations and properties of Lah numbers, available online at http://arxiv.org/abs/1402.2367.
  18. Yun Hua and Feng Qi, A double inequality for bounding Toader mean by the centroidal mean, available online at http://arxiv.org/abs/1402.5020.
  19. Wei-Dong Jiang and Feng Qi, Bounds for the combination of Toader mean and the arithmetic mean in terms of the contraharmonic mean, available online at http://arxiv.org/abs/1402.4561.
  20. Bo-Yan Xi and Feng Qi, Inequalities of Hermite-Hadamard type for extended $s$-convex functions and applications to means, available online at http://arxiv.org/abs/1406.5409.
  21. Bai-Ni Guo, István Mező, and Feng Qi, An explicit formula for Bernoulli polynomials in terms of $r$-Stirling numbers of the second kind, available online at http://arxiv.org/abs/1402.2340.

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