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

2022/01/15 by Ismail Nikoufar, Nikoufar, Ismail, Davuod Saeedi +1 · 1 citation
Mathematics · #26D15 #46N10 #47A60 #47A63 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:26D15 #msc:46N10 #msc:47A60 #msc:47A63

paper · pdf · doi:10.48550/arxiv.2201.05862

arxiv created 2022/01/15 · arxiv updated 2022/01/19

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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• Conditional h-convexity with applications

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