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arXiv · 2001.06906

Some inequalities for P-class functions

Ismail Nikoufar·Davuod Saeedi
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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 H\"{o}lder-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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Ismail Nikoufar, Davuod Saeedi. 2020-01-19. Some inequalities for P-class functions. https://arxiv.org/abs/2001.06906

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