The monotonicity and convexity of a function involving psi function with applications

Author:

Sun Bang-Cheng,Liu Zhi-Ming,Li Qiang,Zheng Shen-Zhou

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference32 articles.

1. Chen, CP: Monotonicity properties of functions related to the psi function. Appl. Math. Comput. 217, 2905-2911 (2010)

2. Chu, YM, Zhang, XM, Tang, XM: An elementary inequality for psi function. Bull. Inst. Math. Acad. Sin. 3(3), 373-380 (2008)

3. Guo, BN, Qi, F: Some properties of the psi and polygamma functions. Hacet. J. Math. Stat. 39, 219-231 (2010)

4. Lu, D: Some new convergent sequences and inequalities of Euler’s constant. J. Math. Anal. Appl. 419, 541-552 (2014)

5. Mortici, C: Improved convergence towards generalized Euler-Mascheroni constant. Appl. Math. Comput. 215, 3443-3448 (2010)

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On complete monotonicity for several classes of functions related to ratios of gamma functions;Journal of Inequalities and Applications;2019-02-06

2. Some properties of the divided difference of psi and polygamma functions;Journal of Mathematical Analysis and Applications;2017-11

3. On values of the psi function;Journal of Applied Mathematics and Computational Mechanics;2017-03

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