Conditional $h$-convexity with applications
Functional Analysis
2022-10-11 v3
Abstract
In this paper, we introduce the notion of conditional -convex functions and we prove an operator version of the Jensen inequality for conditional -convex functions. Using this type of functions, we give some refinements for Ky-Fan's inequality, arithmetic-geometric mean inequality, Chrystal inequality, and Hlder-McCarthy inequality. Many of the other inequalities can be refined by applying this new notion.
Cite
@article{arxiv.2201.07217,
title = {Conditional $h$-convexity with applications},
author = {Ismail Nikoufar and Davuod Saeedi},
journal= {arXiv preprint arXiv:2201.07217},
year = {2022}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2201.05862