Title of article
Jensen–Mercer Type Inequalities for Operator h-Convex Functions
Author/Authors
Abbasi ، Mostafa Department of Mathematics - Faculty of Sciences - University of Zanjan , Morassaei ، Ali Department of Mathematics - Faculty of Sciences - University of Zanjan , Mirzapour ، Farzollah Department of Mathematics - Faculty of Sciences - University of Zanjan
From page
2441
To page
2462
Abstract
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.
Keywords
h , Convex function , Jensen–Mercer inequality , Operator inequality , Hilbert space
Journal title
Bulletin of the Iranian Mathematical Society
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2757016
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