Sharp Power Mean Inequalities for the Generalized Elliptic Integral of the First Kind

被引：84
|
作者：
Wang, Miao-Kun [1 ]
He, Zai-Yin [2 ]
Chu, Yu-Ming [3 ,4 ]
机构：
[1] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China
[2] Hunan Univ, Sch Math, Changsha 410082, Hunan, Peoples R China
[3] Hunan City Univ, Coll Sci, Yiyang 413000, Peoples R China
[4] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Peoples R China
来源：
COMPUTATIONAL METHODS AND FUNCTION THEORY | 2020年 / 20卷 / 01期
关键词：
Complete elliptic integral; Generalized elliptic integral; Gaussian hypergeometric function; Complete p-elliptic integral; Power mean; HYPERGEOMETRIC-FUNCTIONS; FUNCTIONAL INEQUALITIES; MONOTONICITY; BOUNDS;
D O I：
10.1007/s40315-020-00298-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish two sharp inequalities involving the power mean and generalized elliptic integral of the first kind. As applications, the analogous inequalities concerning the complete p-elliptic integral of the first kind are also derived.
引用
收藏
页码：111 / 124
页数：14
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