Some papers and preprints in 2016 by Dr. Prof. Feng Qi

Some papers and preprints in 2016

Part One: Fourty-three papers formally published in 2016

第一部分：2016年正式发表的43篇论文

1. Feng Qi, A completely monotonic function involving the gamma and trigamma functions, Kuwait Journal of Science 43 (2016), no. 3, 32–40.
2. Feng Qi, A determinantal representation for derangement numbers, Global Journal of Mathematical Analysis 4 (2016), no. 3, 17–17; Available online at http://dx.doi.org/10.14419/gjma.v4i3.6574.
3. Feng Qi, A new formula for the Bernoulli numbers of the second kind in terms of the Stirling numbers of the first kind, Publications de l’Institut Mathématique (Beograd) 100 (2016), no. 114, 243–249; Available online at http://dx.doi.org/10.2298/PIM150501028Q.
4. Feng Qi, An explicit formula for the Bell numbers in terms of the Lah and Stirling numbers, Mediterranean Journal of Mathematics 13 (2016), no. 5, 2795–2800; Available online at http://dx.doi.org/10.1007/s00009-015-0655-7.
5. Feng Qi, Diagonal recurrence relations for the Stirling numbers of the first kind, Contributions to Discrete Mathematics 11 (2016), no. 1, 22–30; Available online at https://doi.org/10.11575/cdm.v11i1.62389.
6. Feng Qi, Diagonal recurrence relations, inequalities, and monotonicity related to the Stirling numbers of the second kind, Mathematical Inequalities & Applications 19 (2016), no. 1, 313–323; Available online at http://dx.doi.org/10.7153/mia-19-23.
7. Feng Qi and Viera Čerňanová, Some discussions on a kind of improper integrals, International Journal of Analysis and Applications 11 (2016), no. 2, 101–109.
8. Feng Qi and Robin J. Chapman, Two closed forms for the Bernoulli polynomials, Journal of Number Theory 159 (2016), 89–100; Available online at http://dx.doi.org/10.1016/j.jnt.2015.07.021.
9. Feng Qi and Bai-Ni Guo, An inequality involving the gamma and digamma functions, Journal of Applied Analysis 22 (2016), no. 1, 49–54; Available online at http://dx.doi.org/10.1515/jaa-2016-0005.
10. Feng Qi and Bai-Ni Guo, Complete monotonicity of divided differences of the di- and tri-gamma functions with applications, Georgian Mathematical Journal 23 (2016), no. 2, 279–291; Available online at http://dx.doi.org/10.1515/gmj-2016-0004.
11. Feng Qi and Bai-Ni Guo, Explicit formulas for derangement numbers and their generating function, Journal of Nonlinear Functional Analysis 2016 (2016), Article ID 45, 10 pages.
12. Feng Qi and Bai-Ni Guo, Logarithmically complete monotonicity of a function related to the Catalan-Qi function, Acta Universitatis Sapientiae Mathematica 8 (2016), no. 1, 93–102; Available online at http://dx.doi.org/10.1515/ausm-2016-0006.
13. Feng Qi and Bai-Ni Guo, Logarithmically complete monotonicity of Catalan-Qi function related to Catalan numbers, Cogent Mathematics (2016), 3:1179379, 6 pages; Available online at http://dx.doi.org/10.1080/23311835.2016.1179379.
14. Feng Qi and Bai-Ni Guo, Some determinantal expressions and recurrence relations of the Bernoulli polynomials, Mathematics 4 (2016), no. 4, Article 65, 11 pages; Available online at  http://dx.doi.org/10.3390/math4040065.
15. Feng Qi, Lee-Chae Jang, and Hyuck-In Kwon, Some new and explicit identities related with the Appell-type degenerate $q$-Changhee polynomials, Advances in Difference Equations (2016), 2016:180, 8 pages; Available online at http://dx.doi.org/10.1186/s13662-016-0912-5.
16. Feng Qi and Wen-Hui Li, Integral representations and properties of some functions involving the logarithmic function, Filomat 30 (2016), no. 7, 1659–1674; Available online at http://dx.doi.org/10.2298/FIL1607659Q.
17. Feng Qi, Fang-Fang Liu, and Xiao-Ting Shi, Comments on two completely monotonic functions involving the $q$-trigamma function, Journal of Inequalities and Special Functions 7 (2016), no. 4, 211–217.
18. Feng Qi and Mansour Mahmoud, Some properties of a function originating from geometric probability for pairs of hyperplanes intersecting with a convex body, Mathematical and Computational Applications 21 (2016), no. 3, Article 27, 6 pages; Available online at http://dx.doi.org/10.3390/mca21030027.
19. Feng Qi, Mansour Mahmoud, Xiao-Ting Shi, and Fang-Fang Liu, Some properties of the Catalan-Qi function related to the Catalan numbers, SpringerPlus 2016, 5:1126, 20 pages; Available online at http://dx.doi.org/10.1186/s40064-016-2793-1.
20. Feng Qi, Xiao-Ting Shi, and Bai-Ni Guo, Some properties of the Schröder numbers, Indian Journal of Pure and Applied Mathematics 47 (2016), no. 4, 717–732; Available online at http://dx.doi.org/10.1007/s13226-016-0211-6.
21. Feng Qi, Xiao-Ting Shi, and Bai-Ni Guo, Two explicit formulas of the Schröder numbers, Integers 16 (2016), Paper No. A23, 15 pages.
22. Feng Qi, Xiao-Ting Shi, and Fang-Fang Liu, Several identities involving the falling and rising factorials and the Cauchy, Lah, and Stirling numbers, Acta Universitatis Sapientiae Mathematica 8 (2016), no. 2, 282–297; Available online at http://dx.doi.org/10.1515/ausm-2016-0019.
23. Feng Qi, Xiao-Ting Shi, Mansour Mahmoud, and Fang-Fang Liu, Schur-convexity of the Catalan–Qi function related to the Catalan numbers, Tbilisi Mathematical Journal 9 (2016), no. 2, 141–150; Available online at http://dx.doi.org/10.1515/tmj-2016-0026.
24. Feng Qi, Jing-Lin Wang, and Bai-Ni Guo, A recovery of two determinantal representations for derangement numbers, Cogent Mathematics (2016), 3:1232878, 7 pages; Available online at http://dx.doi.org/10.1080/23311835.2016.1232878.
25. Shu-Ping Bai, Feng Qi, and Shu-Hong Wang, Some new integral inequalities of Hermite–Hadamard type for $(\alpha,m;P)$-convex functions on co-ordinates, Journal of Applied Analysis and Computation 6 (2016), no. 1, 171–178; Available online at http://dx.doi.org/10.11948/2016014.
26. Yu-Mei Bai and Feng Qi, Some integral inequalities of the Hermite–Hadamard type for log-convex functions on co-ordinates, Journal of Nonlinear Sciences and Applications 9 (2016), no. 12, 5900–5908; Available online at https://doi.org/10.22436/jnsa.009.12.01.
27. Bai-Ni Guo and Feng Qi, On inequalities for the exponential and logarithmic functions and means, Malaysian Journal of Mathematical Sciences 10 (2016), no. 1, 23–34.
28. Bai-Ni Guo and Feng Qi, Some inequalities and absolute monotonicity for modified Bessel functions of the first kind, Communications of the Korean Mathematical Society 31 (2016), no. 2, 355–363; Available online at http://dx.doi.org/10.4134/CKMS.2016.31.2.355.
29. Xu-Yang Guo, Feng Qi, and Bo-Yan Xi, Some new inequalities of Hermite–Hadamard type for geometrically mean convex functions on the co-ordinates, Journal of Computational Analysis and Applications 21 (2016), no. 1, 144–155.
30. 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) 99 (2015), no. 113, 237–242; Available online at http://dx.doi.org/10.2298/PIM141026009J.
31. Dongkyu Lim and Feng Qi, On the Appell type $\lambda$-Changhee polynomials, Journal of Nonlinear Sciences and Applications 9 (2016), no. 4, 1872–1876; Available online at https://doi.org/10.22436/jnsa.009.04.40.
32. Mansour Mahmoud and Feng Qi, Three identities of the Catalan-Qi numbers, Mathematics 4 (2016), no. 2, Article 35, 7 pages; Available online at http://dx.doi.org/10.3390/math4020035.
33. Ye Shuang, Feng Qi, and Yan Wang, Some inequalities of Hermite–Hadamard type for functions whose second derivatives are $(\alpha,m)$-convex, Journal of Nonlinear Sciences and Applications 9 (2016), no. 1, 139–148; Available online at https://doi.org/10.22436/jnsa.009.01.13.
34. Ying Wu and Feng Qi, On some Hermite-Hadamard type inequalities for $(s, \text{QC})$-convex functions, SpringerPlus (2016) 5:49, 13 pages; Available online at http://dx.doi.org/10.1186/s40064-016-1676-9.
35. Ying Wu, Feng Qi, Zhi-Li Pei, and Shu-Ping Bai, Hermite–Hadamard type integral inequalities via $(s,m)$-$P$-convexity on co-ordinates, Journal of Nonlinear Sciences and Applications 9 (2016), no. 3, 876–884; Available online at https://doi.org/10.22436/jnsa.009.03.17.
36. Bo-Yan Xi and Feng Qi, Properties and inequalities for the $(h_1,h_2)$- and $(h_1,h_2,m)$-GA-convex functions, Cogent Mathematics (2016), 3:1176620, 19 pages; Available online at http://dx.doi.org/10.1080/23311835.2016.1176620.
37. Bo-Yan Xi and Feng Qi, Some inequalities of Hermite–Hadamard type for geometrically $P$-convex functions, Advanced Studies in Contemporary Mathematics (Kyungshang) 26 (2016), no. 1, 211–220.
38. Jun Zhang, Feng Qi, Gao-Chao Xu, and Zhi-Li Pei, Hermite–Hadamard type inequalities for $n$-times differentiable and geometrically quasi-convex functions, SpringerPlus (2016) 5:524, 6 pages; Available online at http://dx.doi.org/10.1186/s40064-016-2083-y.
39. Bai-Ni Guo, István Mezö, and Feng Qi, An explicit formula for the Bernoulli polynomials in terms of the $r$-Stirling numbers of the second kind, Rocky Mountain Journal of Mathematics 46 (2016), no. 6, 1919–1923; Available online at http://dx.doi.org/10.1216/RMJ-2016-46-6-1919.
40. Wei-Dong Jiang, Jian Cao, and Feng Qi, Sharp inequalities for bounding Seiffert mean in terms of the arithmetic, centroidal, and contra-harmonic means, Mathematica Slovaca 66 (2016), no. 5, 1115–1118; Available online at http://dx.doi.org/10.1515/ms-2016-0208.
41. Ye Shuang, Yan Wang, and Feng Qi, Integral inequalities of Simpson’s type for $(\alpha,m)$-convex functions, Journal of Nonlinear Sciences and Applications 9 (2016), no. 12, 6364–6370; Available online at https://doi.org/10.22436/jnsa.009.12.36.
42. Yan Wang, Bo-Yan Xi, and Feng Qi, Integral inequalities of Hermite–Hadamard type for functions whose derivatives are strongly $\alpha$-preinvex, Acta Mathematica Academiae Paedagogicae Nyíregyháziensis 32 (2016), no. 1, 79–87.
43. Bo-Yan Xi, Chun-Ying He, and Feng Qi, Some new inequalities of the Hermite–Hadamard type for extended $((s_1,m_1)$-$(s_2,m_2))$-convex functions on co-ordinates, Cogent Mathematics (2016), 3: 1267300, 15 pages; Available online at http://dx.doi.org/10.1080/23311835.2016.1267300.

Part Two: Twenty-one preprints in 2016

第二部分：2016年以预印本形式发表的21篇论文

1. Feng Qi, An improper integral with a square root, MDPI Preprints 2016, 2016100089, 8 pages; Available online at http://dx.doi.org/10.20944/preprints201610.0089.v1.
2. Feng Qi, Explicit formulas for the convolved Fibonacci numbers, ResearchGate Preprint (2016), available online at http://dx.doi.org/10.13140/RG.2.2.36768.17927.
3. Feng Qi, Two nice determinantal expressions for the Apostol–Bernoulli polynomials, ResearchGate Preprint (2016), available online at http://dx.doi.org/10.13140/RG.2.2.33797.76004.
4. Feng Qi and Viera Čerňanová, Some discussions on a kind of improper integrals, ResearchGate Preprint (2016), available online at http://dx.doi.org/10.13140/RG.2.1.2500.6969.
5. Feng Qi, Viera Čerňanová, and Yuri S. Semenov, On tridiagonal determinants and the Cauchy product of central Delannoy numbers, ResearchGate Preprint (2016), available online at http://dx.doi.org/10.13140/RG.2.1.3772.6967.
6. Feng Qi and Bai-Ni Guo, A determinantal expression and a recurrence relation for the Euler polynomials, MDPI Preprints 2016, 2016100034, 8 pages; Available online at http://dx.doi.org/10.20944/preprints201610.0034.v1.
7. Feng Qi and Bai-Ni Guo, Determinantal expressions of the Bernoulli polynomials, ResearchGate Preprint (2016), available online at http://dx.doi.org/10.13140/RG.2.2.23731.43049.
8. Feng Qi and Bai-Ni Guo, Explicit formulas and nonlinear ODEs of generating functions for Eulerian polynomials, ResearchGate Preprint (2016), available online at http://dx.doi.org/10.13140/RG.2.2.23503.69288.
9. Feng Qi and Bai-Ni Guo, Some properties of a solution to a family of inhomogeneous linear ordinary differential equations, MDPI Preprints 2016, 2016110146, 11 pages; Available online at http://dx.doi.org/10.20944/preprints201611.0146.v1.
10. Feng Qi and Bai-Ni Guo, Some properties of the Hermite polynomials and their squares and generating functions, MDPI Preprints 2016, 2016110145, 14 pages; Available online at http://dx.doi.org/10.20944/preprints201611.0145.v1.
11. Feng Qi and Bai-Ni Guo, The reciprocal of the weighted geometric mean is a Stieltjes transform, ResearchGate Preprint (2016), available online at http://dx.doi.org/10.13140/RG.2.1.3024.9847.
12. Feng Qi and Bai-Ni Guo, The reciprocal of the weighted geometric mean of many positive numbers is a Stieltjes function, ResearchGate Preprint (2016), available online at http://dx.doi.org/10.13140/RG.2.2.23822.36163.
13. Feng Qi and Bai-Ni Guo, Viewing some ordinary differential equations from the angle of derivative polynomials, MDPI Preprints 2016, 2016100043, 12 pages; Available online at http://dx.doi.org/10.20944/preprints201610.0043.v1.
14. Feng Qi and Bai-Ni Guo, Viewing some nonlinear ODEs and their solutions from the angle of derivative polynomials, ResearchGate Preprint (2016), available online at http://dx.doi.org/10.13140/RG.2.1.4593.1285.
15. Feng Qi, Bai-Ni Guo, Viera Čerňanová, and Xiao-Ting Shi, Explicit expressions, Cauchy products, integral representations, convexity, and inequalities of central Delannoy numbers, ResearchGate Preprint (2016), available online at http://dx.doi.org/10.13140/RG.2.1.4889.6886.
16. Feng Qi and Kottakkaran Sooppy Nisar, Some integral transforms of the generalized $k$-Mittag-Leffler function, MDPI Preprints 2016, 2016100020, 8 pages; Available online at http://dx.doi.org/10.20944/preprints201610.0020.v1.
17. Feng Qi, Xiao-Ting Shi, and Bai-Ni Guo, Integral representations of the large and little Schröder numbers, ResearchGate Preprint (2016), available online at http://dx.doi.org/10.13140/RG.2.1.1988.3288.
18. Feng Qi, Xiao-Ting Shi, and Bai-Ni Guo, Some properties of the Schröder numbers, ResearchGate Preprint (2016), available online at http://dx.doi.org/10.13140/RG.2.1.4727.7686.
19. Feng Qi, Xiao-Ting Shi, and Bai-Ni Guo, Two explicit formulas of the Schröder numbers, ResearchGate Preprint (2016), available online at http://dx.doi.org/10.13140/RG.2.1.2676.3283.
20. Feng Qi, Jiao-Lian Zhao, and Bai-Ni Guo, Closed forms for derangement numbers in terms of the Hessenberg determinants, MDPI Preprints 2016, 2016100035, 11 pages; Available online at http://dx.doi.org/10.20944/preprints201610.0035.v1.

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