Some inequalities for P-class functions

Ismail Nikoufar


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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