OPERATOR QUASILINEARITY OF SOME FUNCTIONALS ASSOCIATED WITH DAVIS–CHOI–JENSEN’S INEQUALITY FOR POSITIVE MAPS

DOI10.1017/S0004972716000769zbMath1452.47001OpenAlexW2537896654MaRDI QIDQ2986609

Sever Silvestru Dragomir

Publication date: 16 May 2017

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972716000769

zbMATH Keywords

Jensen's inequalitysubadditivitysuperadditivityoperator convex functionsarithmetic mean-geometric mean inequality

Mathematics Subject Classification ID

Linear operator inequalities (47A63)

Related Items

On log-sum inequalities ⋮ Unnamed Item ⋮ Some reverse inequalities for positive linear maps of selfadjoint operators

Cites Work

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• Some reverses of the Jensen inequality for functions of selfadjoint operators in Hilbert spaces
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• Operator extension of strong subadditivity of entropy
• Operator Inequalities of the Jensen, Čebyšev and Grüss Type
• A note on the entropy for operator algebras
• Operator entropy inequalities
• Inequalities for relative operator entropies
• Bounds for an operator concave function

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