1. Conditional $h$-convexity with applications
- Author
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Nikoufar, Ismail and Saeedi, Davuod
- Subjects
Mathematics - Functional Analysis ,26D15, 15A39, 47A63, 46N10, 47A60 - 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., Comment: arXiv admin note: substantial text overlap with arXiv:2201.05862
- Published
- 2022