Convexity of the complete elliptic integrals of the first kind with respect to Holder means

被引：56
|
作者：
Wang, Miao-Kun [2 ]
Chu, Yu-Ming [1 ]
Qiu, Song-Liang [3 ]
Jiang, Yue-Ping [2 ]
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, Zhejiang, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 388卷 / 02期
关键词：
Complete elliptic integrals; Holder mean; Convexity; FUNCTIONAL INEQUALITIES; BOUNDS;
D O I：
10.1016/j.jmaa.2011.10.063
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 convexity of the complete elliptic integrals of the first kind with respect to Holder means. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：1141 / 1146
页数：6
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