Jensen-Mercer Type Inequalities for Operator h-Convex Functions

被引：3

作者：

Abbasi, Mostafa ^{[1
]}

Morassaei, Ali ^{[1
]}

Mirzapour, Farzollah ^{[1
]}

机构：

[1] Univ Zanjan, Fac Sci, Dept Math, Univ Blvd, Zanjan 4537138791, Iran

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2022年 / 48卷 / 05期

关键词：

h-Convex function; Jensen-Mercer inequality; Operator inequality; Hilbert space;

D O I：

10.1007/s41980-021-00652-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we state some characterizations of h-convex function defined on a convex set in a linear space. By doing so, we extend the Jensen-Mercer inequality for h-convex function. We present the concept of operator h-convex functions and give some operator versions of Jensen and Jensen-Mercer type inequalities for some classes of operator h-convex functions and unital positive linear maps. Finally, we introduce the complementary inequality of Jensen's inequality for h-convex functions.

引用

页码：2441 / 2462

页数：22

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