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
收藏
页数：9
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