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- W3006455612 abstract "Mercer’s inequality for convex functions is a variant of Jensen’s inequality, with an operator version that is still valid without operator convexity. This paper is two folded. First, we present a Mercer-type inequality for operators without assuming convexity nor operator convexity. Yet, this form refines the known inequalities in the literature. Second, we present a log-convex version for operators. We then use these results to refine some inequalities related to quasi-arithmetic means of Mercer’s type for operators." @default.
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- W3006455612 date "2021-01-01" @default.
- W3006455612 modified "2023-09-26" @default.
- W3006455612 title "On the Operator Jensen-Mercer Inequality" @default.
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- W3006455612 doi "https://doi.org/10.1007/978-3-030-51945-2_24" @default.
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