Some properties of a class of symmetric functions

被引：53

作者：

Guan, Kaizhong ^{[1
]}

机构：

[1] Nanhua Univ, Dept Math, Hengyang 421001, Hunan, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 336卷 / 01期

关键词：

schur-convex function; schur-geometrically-convex function; Ky fan's inequality; Shapiro's inequality;

D O I：

10.1016/j.jmaa.2007.02.064

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Schur-convexity and Schur-geometric-convexity of a class of symmetric functions are investigated. As consequences some new proofs of the well-known Ky Fan's inequality and Shapiro's inequality are presented, respectively. We also give another proof of a problem posted by S. Gabler in [S. Gabler, Aufgabe 830, Elem. Math. 3 (1980) 124-125]. Some interesting matrix and geometric inequalities are established to show the applications of our results. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：70 / 80

页数：11

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