A variant of Jensen's inequality of Mercer's type for operators with applications

被引：96

作者：

Matkovic, A.

Pecaric, J.

Peric, I.

机构：

[1] Univ Zagreb, Fac Text Technol, Zagreb 10000, Croatia

[2] Univ Split, Fac Nat Sci Math & Educ, Dept Math, Split 21000, Croatia

[3] Univ Zagreb, Fac Food Technol & Biotechnol, Zagreb 10000, Croatia

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2006年 / 418卷 / 2-3期

关键词：

Jensen's operator inequality; monotonicity; power means; quasi-arithmetic means;

D O I：

10.1016/j.laa.2006.02.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A variant of Jensen's operator inequality for convex functions, which is a generalization of Mercer's result, is proved. Obtained result is used to prove a monotonicity property for Mercer's power means for operators, and a comparison theorem for quasi-arithmetic means for operators. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：551 / 564

页数：14