Some inequalities on $h$-convex functions

M. Abbasi; A. Morassaei; F. Mirzapour

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arXiv · 2003.12714

Some inequalities on $h$-convex functions

M. Abbasi·A. Morassaei·F. Mirzapour

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Abstract

In this paper, we state some characterizations of $h$-convex function is defined on a convex set in a linear space. By doing so, we extend the Jensen-Mercer inequality for $h$-convex function. We will also define $h$-convex function for operators on a Hilbert space and present the operator version of the Jensen-Mercer inequality. Lastly, we propound the complementary inequality of Jensen's inequality for $h$-convex functions.

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M. Abbasi, A. Morassaei, F. Mirzapour. 2020-03-28. Some inequalities on $h$-convex functions. https://arxiv.org/abs/2003.12714

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