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

被引：1

作者：

Zhang, Ju-Mei ^{[1
]}

Yin, Li ^{[1
]}

You, Hong-Lian ^{[1
]}

机构：

[1] Binzhou Univ, Coll Sci, Binzhou City, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2020年 / 2020卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Complete monotonicity; Generalized k-gamma and k-polygamma functions; Inequality;

D O I：

10.1186/s13660-020-2287-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In 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.

引用

页数：12

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