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

DOI10.1515/apam-2018-0154OpenAlexW3103775973WikidataQ128454050 ScholiaQ128454050MaRDI QIDQ2009512

Mohammad Wajeeh Alomari

Publication date: 28 November 2019

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.07246

zbMATH Keywords

Hilbert spaceconvex functionselfadjoint operatorsPopoviciu inequalitysupequadratic function

Mathematics Subject Classification ID

Linear operator inequalities (47A63)

Related Items

Composition operators, convexity of their Berezin range and related questions ⋮ Numerical radius inequalities for Hilbert space operators

Cites Work

• Extension of the refined Jensen's operator inequality with condition on spectra
• Hlawka's functional inequality on topological groups
• Popoviciu's inequality for functions of several variables
• Improvement of Jensen-Steffensen's inequality for superquadratic functions
• Non-commutative operator Bohr inequality
• Operator Jensen inequality for superquadratic functions
• Inequalities involving superquadratic functions and operators
• On the Bohr inequality of operators
• Convex sets and inequalities
• Bohr’s Inequality Revisited
• Operator Inequalities of the Jensen, Čebyšev and Grüss Type
• SUPERQUADRATIC FUNCTIONS AND REFINEMENTS OF SOME CLASSICAL INEQUALITIES
• Convexity according to the geometric mean
• The Polygonal Inequalities
• Convex functions and their applications. A contemporary approach
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