Some inequalities for P-class functions

2020/01/19 by Nikoufar, Ismail, Saeedi, Davuod
#26D15 #47A60 #47A63 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2001.06906

Abstract

In this paper, we provide some inequalities for P-class functions and self-adjoint operators on a Hilbert space including an operator version of the Jensen's inequality and the Hermite-Hadamard's type inequality. We improve the Hölder-MacCarthy inequality by providing an upper bound. Some refinements of the Jensen type inequality for P-class functions will be of interest.

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