Operator \(m\)-convex functions

DOI10.1515/gmj-2017-0045zbMath1492.46049OpenAlexW2770920983MaRDI QIDQ2413262

Akram Alikhani, Mohammad Sal Moslehian, Jamal Rooin

Publication date: 10 April 2018

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2017-0045

zbMATH Keywords

Jensen inequalityJensen-Mercer inequalityChoi-Davis-Jensen inequalityJensen operator functionaloperator \(m\)-convex

Mathematics Subject Classification ID

Linear operator inequalities (47A63) General theory of (C^*)-algebras (46L05) Convexity of real functions in one variable, generalizations (26A51) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (2)

Sharpening celebrated convex inequalities with applications to operators and entropies ⋮ Unnamed Item

Cites Work

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• On a Jensen-Mercer operator inequality
• A variant of Jensen's inequality of Mercer's type for operators with applications
• Some mean values related to the arithmetic-geometric mean
• Strengthened converses of the Jensen and Edmundson-Lah-Ribarič inequalities
• Jensen's operator inequality and its converses
• Refinements of Jensen's inequality of Mercer's type for operator convex functions
• Refinements of the operator Jensen-Mercer inequality
• Positive Functions on C ∗ -Algebras
• Convex functions and their applications. A contemporary approach

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