Majorization and relative concavity

被引：4

作者：

Niezgoda, Marek ^{[1
]}

机构：

[1] Univ Life Sci Lublin, Dept Appl Math & Comp Sci, PL-20950 Lublin, Poland

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2011年 / 434卷 / 08期

关键词：

Majorization; Relative concavity; G-majorization; Group-induced cone ordering; Eaton system; Ky Fan's inequality; INEQUALITY; MAPS;

D O I：

10.1016/j.laa.2010.11.044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, some results established in [H.-N. Shi, Refinement and generalization of a class of inequalities for symmetric functions, Math. Practice Theory 29 (4)(1999) 81-84] are extended from the classical majorization preordering to group-induced cone orderings. To this end the notion of relative concavity introduced in [C.P. Niculescu, F. Popovici, The extension of majorization inequalities within the framework of relative convexity, J. lnequal. Pure Appl. Math. 7 (1) (2005) (Article 27)]is used. In addition, some Ky Fan's inequalities are discussed. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1968 / 1980

页数：13

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