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- W3014040003 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." @default.
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- W3014040003 date "2020-03-28" @default.
- W3014040003 modified "2023-09-26" @default.
- W3014040003 title "Some inequalities on $h$-convex functions" @default.
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- W3014040003 doi "https://doi.org/10.48550/arxiv.2003.12714" @default.
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