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.
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页码：1141 / 1146
页数：6
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