Some inequalities for P-class functions
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 b...
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| Sprache: | eng |
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| Zusammenfassung: | 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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| DOI: | 10.48550/arxiv.2001.06906 |