Some properties of a generalized Hamy symmetric function and its applications

被引：14

作者：

Guan, Kaizhong ^{[1
]}

Guan, Ruke ^{[2
]}

机构：

[1] Univ S China, Res Inst Math, Hengyang 421001, Hunan, Peoples R China

[2] Univ S China, Sch Urban Construct, Hengyang 421001, Hunan, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 376卷 / 02期

关键词：

Convexity; Schur-convexity; Hamy symmetric function; Monotonicity; Inequality; INEQUALITIES; CONVEXITY;

D O I：

10.1016/j.jmaa.2010.10.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the generalized Hamy symmetric function Sigma(n)(x, r; f) = Sigma(1 <= i1<i2<...<ir <= n) f(Pi(r)(j=1) x(ij)(1/r)), where f is a positive function defined in a subinterval of (0, +infinity). Some properties, including Schur-convexity, geometric Schur-convexity and harmonic Schur-convexity are investigated. As applications, several inequalities are obtained, some of which extend the known ones. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：494 / 505

页数：12

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