Complete monotonicity and inequalities related to generalized k-gamma and k-polygamma functions-Reference-Cited by-同舟云学术

Complete monotonicity and inequalities related to generalized k-gamma and k-polygamma functions

Published:2020-01-30 Issue:1 Volume:2020 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Zhang Ju-Mei,Yin Li,You Hong-Lian

Abstract

AbstractIn this paper, we prove new complete monotonicity properties of some functions related to generalized k-gamma and k-polygamma functions. Applications of the results yield various new inequalities. In the end, double inequalities are constructed involving the k-generalized digamma and polygamma functions.

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Link

http://link.springer.com/content/pdf/10.1186/s13660-020-2287-0.pdf

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