Jensen's operator and applications to mean inequalities for operators in Hilbert space

zbMath1248.47018MaRDI QIDQ656085

Neda Lovričević, Mario Krnić, Josip E. Pečarić

Publication date: 26 January 2012

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: http://math.usm.my/bulletin/html/vol35_1_1.html

zbMATH Keywords

monotonicityHilbert spaceJensen's inequalityrefinementconversionsuperadditivityKantorovich constantgeometric operator meanJensen's functionalarithmetic operator meanbounded self-adjoint operatorharmonic operator meanJensen's operatorpositive invertible operator

Mathematics Subject Classification ID

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

Related Items (11)

Reverse arithmetic-harmonic mean and mixed mean operator inequalities ⋮ Operator iteration on the Young inequality ⋮ Graph indices via the AM-GM inequality ⋮ Improved Heinz inequalities via the Jensen functional ⋮ Generalized reverse Young and Heinz inequalities ⋮ Unnamed Item ⋮ More accurate weak majorization relations for the Jensen and some related inequalities ⋮ Complementary to Jensen's operator inequalities in external formulas ⋮ Operator inequalities involving improved Young and its reverse inequalities ⋮ Sherman's operator inequality ⋮ The best constants in multidimensional Hilbert-type inequalities involving some weighted means operators

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