Some reverses of the Jensen inequality for functions of selfadjoint operators in Hilbert spaces

DOI10.1155/2010/496821zbMath1193.47023OpenAlexW1991942727WikidataQ59254256 ScholiaQ59254256MaRDI QIDQ978431

Sever Silvestru Dragomir

Publication date: 24 June 2010

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/227135

zbMATH Keywords

Hilbert spaceselfadjoint operatorreverses of the Jensen inequality

Mathematics Subject Classification ID

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

Related Items (19)

Trapezoidal type inequalities for Riemann-Stieltjes integral via Čebyšev functional with applications ⋮ Reverse Jensen's type trace inequalities for convex functions of selfadjoint operators in Hilbert spaces ⋮ Inequality for power series with nonnegative coefficients and applications ⋮ Inequalities for \(h\)-\(\log\)-convex functions ⋮ On some general inequalities related to operator AM-GM inequality ⋮ A survey of Jensen type inequalities for functions of selfadjoint operators in Hilbert spaces ⋮ Some Jensen type inequalities for square-convex functions of selfadjoint operators in Hilbert spaces ⋮ Inequalities of Hermite-Hadamard type for functions of selfadjoint operators and matrices ⋮ A weakened version of Davis-Choi-Jensen’s inequality for normalised positive linear maps ⋮ Unnamed Item ⋮ OPERATOR QUASILINEARITY OF SOME FUNCTIONALS ASSOCIATED WITH DAVIS–CHOI–JENSEN’S INEQUALITY FOR POSITIVE MAPS ⋮ Hermite-Hadamard's type inequalities for convex functions of selfadjoint operators in Hilbert spaces ⋮ Some inequalities of Hölder type for quadratic weighted geometric mean of bounded linear operators in Hilbert spaces ⋮ Unnamed Item ⋮ Some complementary inequalities to Jensen's operator inequality ⋮ SOME TRACE INEQUALITIES FOR CONVEX FUNCTIONS OF SELFADJOINT OPERATORS IN HILBERT SPACES ⋮ REFINEMENTS AND REVERSES OF HÖLDER-MCCARTHY OPERATOR INEQUALITY VIA A CARTWRIGHT-FIELD RESULT ⋮ On some new converses of convex inequalities in Hilbert space ⋮ On Jensen's Multiplicative Inequality for Positive Convex Functions of Selfadjoint Operators in Hilbert Spaces

Cites Work

• A variant of Jensen's inequality of Mercer's type for operators with applications
• \(c_ p\)
• Inequalities of Furuta and Mond-Pečarić
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• Unnamed Item
• Unnamed Item

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