Concavity of the complete elliptic integrals of the second kind with respect to Holder means

被引：53

作者：

Chu, Yu-Ming ^{[1
]}

Wang, Miao-Kun ^{[2
]}

Jiang, Yue-Ping ^{[2
]}

Qiu, Song-Liang ^{[3
]}

机构：

[1] Huzhou Teachers Coll, Dept Math, Huzhou 313000, Peoples R China

[2] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

[3] Zhejiang Sci Tech Univ, Dept Math, Hangzhou 310018, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 395卷 / 02期

关键词：

Complete elliptic integrals; Holder mean; Concavity; FUNCTIONAL INEQUALITIES; BOUNDS; CONVEXITY; PERIMETER; 1ST;

D O I：

10.1016/j.jmaa.2012.05.083

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish a necessary and sufficient condition for the concavity of the complete elliptic integrals of the second kind with respect to Holder means. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：637 / 642

页数：6

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