Convexity and concavity of the complete elliptic integrals with respect to Lehmer mean

被引：84
|
作者：
Chu, Yu-Ming [1 ]
Zhao, Tie-Hong [2 ]
机构：
[1] Hunan City Univ, Sch Math & Computat Sci, Yiyang 413000, Peoples R China
[2] Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年
关键词：
complete elliptic integral; generalized convexity; Lehmer mean;
D O I：
10.1186/s13660-015-0926-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the authors present necessary and sufficient conditions for the complete elliptic integrals of the first and second kind to be convex or concave with respect to the Lehmer mean.
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页码：1 / 6
页数：6
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