Sharp Bounds for the Weighted Holder Mean of the Zero-Balanced Generalized Complete Elliptic Integrals

被引：177
|
作者：
Zhao, Tie-Hong [1 ]
He, Zai-Yin [2 ]
Chu, Yu-Ming [3 ,4 ]
机构：
[1] Hangzhou Normal Univ, Dept Math, Hangzhou 311121, Peoples R China
[2] Hunan Univ, Sch Math, Changsha 410082, Peoples R China
[3] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China
[4] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China
来源：
COMPUTATIONAL METHODS AND FUNCTION THEORY | 2021年 / 21卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Gaussian hypergeometric function; Zero-balanced; Weighted Hö lder mean; Complete elliptic integrals; INEQUALITIES;
D O I：
10.1007/s40315-020-00352-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the article, we present the best possible bounds for the weighted Holder mean of the zero-balanced generalized complete elliptic integrals of the first and second kinds, which are the generalizations of previous results for complete p-elliptic integrals.
引用
收藏
页码：413 / 426
页数：14
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