Inequalities of the Edmundson-Lah-Ribarič type for selfadjoint operators in Hilbert spaces

DOI10.7153/mia-2019-22-82zbMath1436.46026OpenAlexW2983115525MaRDI QIDQ5215223

Rozarija Mikić, Josip E. Pečarić

Publication date: 7 February 2020

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2019-22-82

zbMATH Keywords

Jensen inequalityscalar productdivided differencesoperator means\(n\)-convex functionsEdmundson-Lah-Ribarič inequality

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Linear operator inequalities (47A63) Convexity of real functions in one variable, generalizations (26A51) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Cites Work

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• Converses of convex inequalities in Hilbert space
• On some new converses of convex inequalities in Hilbert space
• An interpolation of Jensen's inequality and its applications to mean inequalities
• More accurate classes of Jensen-type inequalities for convex and operator convex functions

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