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arXiv · 2201.07217

Conditional $h$-convexity with applications

Ismail Nikoufar·Davuod Saeedi
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Abstract

In this paper, we introduce the notion of conditional $h$-convex functions and we prove an operator version of the Jensen inequality for conditional $h$-convex functions. Using this type of functions, we give some refinements for Ky-Fan's inequality, arithmetic-geometric mean inequality, Chrystal inequality, and H$\ddot{o}$lder-McCarthy inequality. Many of the other inequalities can be refined by applying this new notion.

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Ismail Nikoufar, Davuod Saeedi. 2022-01-15. Conditional $h$-convexity with applications. https://arxiv.org/abs/2201.07217

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