Jensen–Mercer Type Inequalities for Operator h-Convex Functions

被引：0

作者：

Mostafa Abbasi

Ali Morassaei

Farzollah Mirzapour

机构：

[1] University of Zanjan,Department of Mathematics, Faculty of Sciences

来源：

Bulletin of the Iranian Mathematical Society | 2022年 / 48卷

关键词：

-Convex function; Jensen–Mercer inequality; Operator inequality; Hilbert space; 47A63; 26D15;

D O I：

暂无

中图分类号：

学科分类号：

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：21

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