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Operator Popoviciu's inequality for superquadratic and convex functions of selfadjoint operators in Hilbert spaces - MaRDI portal

Operator Popoviciu's inequality for superquadratic and convex functions of selfadjoint operators in Hilbert spaces

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Publication:6304387

DOI10.1515/APAM-2018-0154arXiv1807.07246WikidataQ128454050 ScholiaQ128454050MaRDI QIDQ6304387

M. W. Alomari

Publication date: 19 July 2018

Abstract: In this work, operator version of Popoviciu's inequality for positive selfadjoint operators in Hilbert spaces under positive linear maps for superquadratic functions is proved. Analogously, using the same technique operator version of Popoviciu's inequality for convex functions is obtained. Some other related inequalities are also deduced.












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