Operator Jensen inequality for superquadratic functions

被引：46

作者：

Kian, Mohsen ^{[1
]}

机构：

[1] Univ Bojnord, Fac Basic Sci, Dept Math, Bojnord, Iran

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2014年 / 456卷

关键词：

Superquadratic function; Operator Jensen inequality; Convex function; Positive operator; Matrix inequality;

D O I：

10.1016/j.laa.2012.12.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a Jensen operator inequality for superquadratic functions. In particular we extend the inequalityf (< Ax, x >) <= < f(A)x, x > for superquadratic functions and give some applications for our result. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：82 / 87

页数：6

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