An extension of Jensen's operator inequality and its application to Young inequality

DOI10.1007/s13398-018-0499-7OpenAlexW2784144254MaRDI QIDQ2314614

Hamid Reza Moradi, Shigeru Furuichi, Razieh Naseri, Flavia-Corina Mitroi-Symeonidis

Publication date: 29 July 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.02186

zbMATH Keywords

Jensen's inequalityoperator inequalityYoung inequalityconvexifiable functions

Mathematics Subject Classification ID

Linear operator inequalities (47A63) General theory of (C^*)-algebras (46L05) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (17)

Further refinements of Young's type inequality for positive linear maps ⋮ On the Jensen's inequality and its variants ⋮ Refining and reversing Jensen's inequality ⋮ New upper bounds for the numerical radius of operators on Hilbert spaces ⋮ Refinements of Some Numerical Radius Inequalities for Hilbert Space Operators ⋮ Unnamed Item ⋮ Choi-Davis-Jensen's type trace inequalities for convex functions of self-adjoint operators in Hilbert spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Improvement and generalization of some Jensen-Mercer-type inequalities ⋮ Some refinements of the improved Young and its reverse inequalities ⋮ On the arithmetic-geometric mean inequality ⋮ Further results on Jensen-type inequalities ⋮ Further refinements of Alzer-Fonseca-Kovačec's inequalities and applications ⋮ Unnamed Item ⋮ Revisiting the Grüss inequality ⋮ Further refinements and generalizations of the Young's and its reverse inequalities

Cites Work

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• Convexifiable functions in integral calculus
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• Some Jensen's type inequalities for twice differentiable functions of selfadjoint operators in Hilbert spaces

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