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
收藏
页码：82 / 87
页数：6
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