SCHUR CONVEXITY PROPERTIES FOR THE ELLIPTIC NEUMAN MEAN WITH APPLICATIONS

被引：0

作者：

Song, Ying-Qing ^{[1
]}

Wang, Miao-Kun ^{[2
]}

Chu, Yu-Ming ^{[1
]}

机构：

[1] Hunan City Univ, Sch Math & Computat Sci, Yiyang 413000, Peoples R China

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

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2015年 / 18卷 / 01期

关键词：

elliptic Neuman mean; Jacobian elliptic function; Schur convex; Schur multiplicatively convex; Schur harmonic convex; HARMONIC CONVEXITIES; SYMMETRIC FUNCTION;

D O I：

10.7153/mia-18-13

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Strictly Schur convexity, Schur multiplicative convexity and Schur harmonic convexity are investigated for the elliptic Neuman mean. As applications, several sharp bounds for the arithmetic, geometric and harmonic means in terms of the elliptic Neuman mean are presented.

引用

页码：185 / 194

页数：10

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