Mond and Pe\checkcari\acutec inequality for h-convex functions with applications

2022/01/15 by Nikoufar, Ismail, Saeedi, Davuod
#26D15 #46N10 #47A60 #47A63 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2201.05862

Abstract

In this paper, we prove an operator version of the Jensen's inequality and its converse for h-convex functions. We provide a refinement of the Jensen type inequality for h-convex functions. Moreover, we prove the Hermite-Hadamard's type inequality and a multiple operator version of the Jensen's inequality for h-convex functions. In particular, a result for convex, P-class, s-convex, Godunova-Levin, and s-Godunova-Levin functions can be deduced.

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