A variant of the Jensen-Mercer operator inequality for superquadratic functions

DOI10.1016/j.mcm.2010.01.005zbMath1198.26022OpenAlexW2053037745MaRDI QIDQ604141

Anita Matković, Josip E. Pečarić, Josipa Barić

Publication date: 8 November 2010

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2010.01.005

zbMATH Keywords

superquadratic functionsJensen-Mercer operator inequalityoperator power means of Mercer's type

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Inequalities for sums, series and integrals (26D15)

Related Items (7)

Jensen-Mercer operator inequalities involving superquadratic functions ⋮ Interpolating Jensen-type operator inequalities for log-convex and superquadratic functions ⋮ On superquadratic and logarithmically superquadratic functions ⋮ On the operator Jensen-Mercer inequality ⋮ Inequalities involving superquadratic functions and operators ⋮ On superquadratic functions of Hilbert space operators ⋮ Reverse Jensen-Mercer Type Operator Inequalities

Cites Work

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• A variant of Jensen's inequality of Mercer's type for operators with applications
• SUPERQUADRATIC FUNCTIONS AND REFINEMENTS OF SOME CLASSICAL INEQUALITIES
• Jensen-Steffensen's and related inequalities for superquadratic functions
• Refinements of Jensen's inequality of Mercer's type for operator convex functions

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