Monotonicity, concavity, and inequalities related to the generalized digamma function

被引：9

作者：

Yin, Li ^{[1
]}

Huang, Li-Guo ^{[1
]}

Lin, Xiu-Li ^{[2
]}

Wang, Yong-Li ^{[3
]}

机构：

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

[2] Qufu Normal Univ, Coll Math Sci, Qufu City, Peoples R China

[3] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2018年

基金：

中国国家自然科学基金;

关键词：

Generalized digamma function; Complete monotonicity; Inequality; Concavity; POSITIVE SOLUTIONS; GAMMA;

D O I：

10.1186/s13662-018-1695-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish a concave theorem and some inequalities for the generalized digamma function. Hence, we give complete monotonicity property of a determinant function involving all kinds of derivatives of the generalized digamma function.

引用

页数：9

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