Some papers and preprints in 2013 by Dr. Prof. Feng Qi

Some papers and preprints in 2013

Thirty-eight papers formally published in 2013

2013年正式发表的38篇论文

1. Feng Qi, Integral representations and properties of Stirling numbers of the first kind, Journal of Number Theory 133 (2013), no. 7, 2307–2319; Available online at http://dx.doi.org/10.1016/j.jnt.2012.12.015.
2. Feng Qi, Limit formulas for ratios between derivatives of the gamma and digamma functions at their singularities, Filomat 27 (2013), no. 4, 601–604; Available online at http://dx.doi.org/10.2298/FIL1304601Q.
3. 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 (2013), no. 4, 1683–1694; Available online at http://dx.doi.org/10.1007/s00009-013-0272-2.
4. 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 (2013), no. 2, 309–319; Available online at http://dx.doi.org/10.1017/S0004972712001025.
5. 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 pages; Available online athttp://dx.doi.org/10.1186/1029-242X-2013-542.
6. Feng Qi, Qiu-Ming Luo, and Bai-Ni Guo, Complete monotonicity of a function involving the divided difference of digamma functions, Science China Mathematics56 (2013), no. 11, 2315–2325; Available online at http://dx.doi.org/10.1007/s11425-012-4562-0.
7. Feng Qi and Bo-Yan Xi, Some integral inequalities of Simpson type for GA-$\varepsilon$-convex functions, Georgian Mathematical Journal 20 (2013), no. 4, 775–788; Available online at http://dx.doi.org/10.1515/gmj-2013-0043.
8. Rui-Fang Bai, Feng Qi, and Bo-Yan Xi, Hermite-Hadamard type inequalities for the $m$- and $(\alpha,m)$-logarithmically convex functions, Filomat 27 (2013), no. 1, 1–7; Available online at http://dx.doi.org/10.2298/FIL1301001B.
9. 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 (2013), no. 1, 22–28; Available online at http://dx.doi.org/10.14419/gjma.v1i1.776.
10. 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 pages; Available online at http://dx.doi.org/10.1186/1029-242X-2013-451.
11. Bai-Ni Guo and Feng Qi, Monotonicity and logarithmic convexity relating to the volume of the unit ball,  Optimization Letters 7 (2013), no. 6, 1139–1153; Available online at http://dx.doi.org/10.1007/s11590-012-0488-2.
12. Bai-Ni Guo and Feng Qi,  Refinements of lower bounds for polygamma functions, Proceedings of the American Mathematical Society 141 (2013), no. 3, 1007–1015; Available online at http://dx.doi.org/10.1090/S0002-9939-2012-11387-5.
13. Yun Hua and Feng Qi, Sharp inequalities between the hyperbolic cosine function and the sine and cosine functions, Pakistan Journal of Statistics 29 (2013), no. 3, 315–321.
14. Wen-Hui Li and Feng Qi, Some Hermite-Hadamard type inequalities for functions whose $n$-th derivatives are $(\alpha,m)$-convex, Filomat 27 (2013), no. 8, 1575–1582; Available online at http://dx.doi.org/10.2298/FIL1308575L.
15. 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 (2013), no. 1, 45–50; Available online at http://dx.doi.org/10.1524/anly.2013.1175.
16. 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 (2013), no. 4, 367–375; Available online at http://dx.doi.org/10.1524/anly.2013.1223.
17. Shu-Hong Wang and Feng Qi, Inequalities of Hermite-Hadamard type for convex functions which are $n$-times differentiable, Mathematical Inequalities & Applications 16 (2013), no. 4, 1269–1278; Available online at http://dx.doi.org/10.7153/mia-16-97.
18. 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 (2013), no. 3, 235–242; Available online at http://dx.doi.org/10.1524/anly.2013.1191.
19. Bo-Yan Xi and Feng Qi, Hermite-Hadamard type inequalities for functions whose derivatives are of convexities, Nonlinear Functional Analysis and Applications 18 (2013), no. 2, 163–176.
20. Bo-Yan Xi and Feng Qi, Integral inequalities of Simpson type for logarithmically convex functions, Advanced Studies in Contemporary Mathematics (Kyungshang) 23 (2013), no. 4, 559–566.
21. Bo-Yan Xi and Feng Qi, Some Hermite-Hadamard type inequalities for differentiable convex functions and applications, Hacettepe Journal of Mathematics and Statistics 42 (2013), no. 3, 243–257.
22. Bo-Yan Xi and Feng Qi, Some inequalities of Hermite-Hadamard type for $h$-convex functions, Advances in Inequalities and Applications 2 (2013), no. 1, 1–15.
23. Li Yin and Feng Qi, Some integral inequalities on time scales, Results in Mathematics 64 (2013), no. 3, 371–381; Available online at http://dx.doi.org/10.1007/s00025-013-0320-z.
24. 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 (2013), no. 2, 193–203.
25. 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 No. 51 (2013), 21–32.
26. 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 pages; Available online at http://dx.doi.org/10.1186/1029-242X-2013-536.
27. 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 (2013), no. 2, 261–265; Available online at http://dx.doi.org/10.2298/FIL1302261G.
28. Bai-Ni Guo, Jiao-Lian Zhao, and Feng Qi, A completely monotonic function involving the tri- and tetra-gamma functions, Mathematica Slovaca 63 (2013), no. 3, 469–478; Available online at http://dx.doi.org/10.2478/s12175-013-0109-2.
29. Sen-Lin 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 2013:67, 7 pages; Available online at http://dx.doi.org/10.1186/1029-242X-2013-67.
30. 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 (2013), no. 2, 197–208; Available online at http://dx.doi.org/10.1524/anly.2013.1192.
31. 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), Article ID 904721, 8 pages; Available online at http://dx.doi.org/10.1155/2013/904721.
32. 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 (2013), no. 2, 151–159.
33. 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 (2013), no. 1, 69–84.
34. Li Yin, Da-Wei Niu, and Feng Qi, Some new integral inequalities, Tamkang Journal of Mathematics 44 (2013), no. 3, 279–288; Available online at http://dx.doi.org/10.5556/j.tkjm.44.2013.1166.
35. 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 (2013), no. 3, 399–407.
36. 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 (2013), no. 1, 229–239; Available online at http://dx.doi.org/10.4418/2013.68.1.17.
37. Bo Zhang, Bo-Yan Xi, and Feng Qi, Some properties and inequalities for $h$-geometrically convex functions, Journal of Classical Analysis 3 (2013), no. 2, 101–108; Available online at http://dx.doi.org/10.7153/jca-03-09.
38. 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; Available online at http://dx.doi.org/10.1016/j.jat.2013.06.005.

Thirty preprints announced in 2013

2013年以预印本形式发表的30篇论文

1. Feng Qi, A completely monotonic function involving the gamma and tri-gamma functions, available online at http://arxiv.org/abs/1307.5407.
2. Feng Qi, A recurrence formula for the first kind Stirling numbers, available online at http://arxiv.org/abs/1310.5920.
3. Feng Qi, An integral representation and properties of Bernoulli numbers of the second kind, available online at http://arxiv.org/abs/1301.7181.
4. Feng Qi, Completely monotonic degree of a function involving the tri- and tetra-gamma functions, available online at http://arxiv.org/abs/1301.0154.
5. Feng Qi, Complete monotonicity of a family of functions involving the tri- and tetra-gamma functions, available online at http://arxiv.org/abs/1301.0156.
6. Feng Qi, Explicit formulas for computing Bernoulli numbers of the second kind and Stirling numbers of the first kind, available online at http://arxiv.org/abs/1301.6845.
7. Feng Qi, Explicit formulas for computing Euler polynomials in terms of the second kind Stirling numbers, available online at http://arxiv.org/abs/1310.5921.
8. Feng Qi, Pólya type integral inequalities: Origin, variants, proofs, refinements, generalizations, equivalences, and applications, RGMIA Research Report Collection 16 (2013), Article 20, 32 pages; Available online at http://rgmia.org/papers/v16/v16a20.pdf.
9. Feng Qi, Properties of modified Bessel functions and completely monotonic degrees of differences between exponential and trigamma functions, available online at http://arxiv.org/abs/1302.6731.
10. Feng Qi, Some completely monotonic functions involving the $q$-tri-gamma and $q$-tetra-gamma functions with applications, available online at http://arxiv.org/abs/1301.0155.
11. Feng Qi, Serkan Araci, and Mehmet Açikgöz, Extended fermionic $p$-adic integrals on $\mathbb{Z}_p$, available online at http://arxiv.org/abs/1312.2040.
12. Feng Qi and Cristinel Mortici, Some best approximation formulas and inequalities for Wallis ratio, available online at http://arxiv.org/abs/1312.3782.
13. Feng Qi and Wen-Hui Li, A logarithmically completely monotonic function involving the ratio of two gamma functions and originating from the coding gain, available online at http://arxiv.org/abs/1303.1877.
14. Feng Qi and Wen-Hui Li, Integral representations and properties of some functions involving the logarithmic function, available online at http://arxiv.org/abs/1305.4083.
15. Feng Qi, Tian-Yu Zhang, and Bo-Yan Xi, Hermite-Hadamard type integral inequalities for functions whose first derivatives are of convexity, available online at http://arxiv.org/abs/1305.5933.
16. Feng Qi and Xiao-Jing Zhang, A Stieltjes function involving the logarithmic function and an application, available online at http://arxiv.org/abs/1301.6425.
17. Feng Qi and Xiao-Jing Zhang, Complete monotonicity of a difference between the exponential and trigamma functions, available online at http://arxiv.org/abs/1303.1582.
18. Feng Qi, Xiao-Jing Zhang, and Wen-Hui Li, A new proof of the geometric-arithmetic mean inequality by Cauchy’s integral formula, available online at http://arxiv.org/abs/1301.6432.
19. Feng Qi, Xiao-Jing Zhang, and Wen-Hui Li, Integral representations of the weighted geometric mean and the logarithmic mean, available online at http://arxiv.org/abs/1303.3122.
20. Feng Qi, Xiao-Jing Zhang, and Wen-Hui Li, Some Bernstein functions and integral representations concerning harmonic and geometric means, available online at http://arxiv.org/abs/1301.6430.
21. Feng Qi, Xiao-Jing Zhang, and Wen-Hui Li, The geometric mean is a Bernstein function, available online at http://arxiv.org/abs/1301.6848.
22. Yun Hua and Feng Qi, The best bounds for Toader mean in terms of the centroidal and arithmetic means, available online at http://arxiv.org/abs/1303.2451.
23. Wei-Dong Jiang and Feng Qi, Geometric convexity of the generalized sine and the generalized hyperbolic sine, available online at http://arxiv.org/abs/1301.3264.
24. Wei-Dong Jiang and Feng Qi, Sharp bounds for Neuman-Sándor’s mean in terms of the root-mean-square, available online at http://arxiv.org/abs/1301.3267.
25. Wei-Dong Jiang and Feng Qi, Sharp bounds in terms of the power of the contra-harmonic mean for Neuman-Sándor mean, available online at http://arxiv.org/abs/1301.3554.
26. Wen-Hui Li and Feng Qi, A unified proof of inequalities and some new inequalities involving Neuman-Sándor mean, available online at http://arxiv.org/abs/1312.3500.
27. Wen-Hui Li and Feng Qi, Hermite-Hadamard type inequalities of functions whose derivatives of $n$-th order are $(\alpha,m)$-convex, available online at http://arxiv.org/abs/1308.2948.
28. Cristinel Mortici and Feng Qi, Asymptotic formulas and inequalities for gamma function in terms of tri-gamma function, available online at http://arxiv.org/abs/1312.5881.
29. Li Yin and Feng Qi, Some inequalities for complete elliptic integrals, available online at http://arxiv.org/abs/1301.4385.
30. Ai-Ping Ji, Tian-Yu Zhang, and Feng Qi, Integral inequalities of Hermite-Hadamard type for $(\alpha,m)$-GA-convex functions, available online at http://arxiv.org/abs/1306.0852.

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