A survey of Jensen type inequalities for functions of selfadjoint operators in Hilbert spaces

DOI10.1016/j.camwa.2010.04.014zbMath1198.26019OpenAlexW2053384713MaRDI QIDQ604005

Ravi P. Agarwal, Sever Silvestru Dragomir

Publication date: 8 November 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.04.014

zbMATH Keywords

Jensen's inequalityconvex functionsselfadjoint operatorspositive operatorsfunctions of selfadjoint operators

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Inequalities involving derivatives and differential and integral operators (26D10)

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Cites Work

• A variant of Jensen's inequality of Mercer's type for operators with applications
• Some inequalities of the Grüss type for the numerical radius of bounded linear operators in Hilbert spaces
• Some reverses of the Jensen inequality for functions of selfadjoint operators in Hilbert spaces
• A companion inequality to Jensen's inequality
• \(c_ p\)
• Čebyšev's type inequalities for functions of selfadjoint operators in Hilbert spaces
• Inequalities of Furuta and Mond-Pečarić
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