More accurate weak majorization relations for the Jensen and some related inequalities

DOI10.1016/J.LAA.2014.06.037zbMath1310.47013OpenAlexW2056900776MaRDI QIDQ2250950

Mario Krnić, Josip E. Pečarić

Publication date: 22 July 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2014.06.037

zbMATH Keywords

eigenvalueconvex functionJensen inequalityunitarily invariant normweak majorization

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Miscellaneous inequalities involving matrices (15A45) Convexity of real functions in one variable, generalizations (26A51)

Cites Work

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• Jensen's operator and applications to mean inequalities for operators in Hilbert space
• Eigenvalue inequalities for convex and log-convex functions
• Convex functions, partial orderings, and statistical applications
• Weak majorization inequalities and convex functions
• Properties of some functionals related to Jensen's inequality
• Norm inequalities related to operator monotone functions
• On the properties of McShane's functional and their applications
• Some Norm Inequalities for Completely Monotone Functions
• Improved arithmetic-geometric and Heinz means inequalities for Hilbert space operators

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