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Extension of the refined Jensen's operator inequality with condition on spectra

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Publication:455452
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DOI10.15352/afa/1399900024zbMath1263.47020OpenAlexW2000689309MaRDI QIDQ455452

Jadranka Mićić, Jurica Perić, Josip E. Pečarić

Publication date: 22 October 2012

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/AFA/AFA-tex_v3_n1_a6.pdf


zbMATH Keywords

convex functionself-adjoint operatorquasi-arithmetic meanJensen's operator inequalitypositive linear mapping


Mathematics Subject Classification ID

Linear operator inequalities (47A63) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15)


Related Items (5)

More precise estimates for the Jensen operator inequality obtained via the Lah-Ribarič inequality ⋮ Majorization and refined Jensen-Mercer type inequalities for self-adjoint operators ⋮ Some extensions of the operator entropy type inequalities ⋮ Inequalities involving superquadratic functions and operators ⋮ Operator Popoviciu's inequality for superquadratic and convex functions of selfadjoint operators in Hilbert spaces




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