Improved matrix inequalities using radical convexity

DOI10.7153/jmi-2023-17-24zbMath1521.26006OpenAlexW4361766562MaRDI QIDQ6158041

Shigeru Furuichi, Mohammad S. Sababheh, Hamid Reza Moradi

Publication date: 31 May 2023

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2023-17-24

zbMATH Keywords

convex function2-radical convex functionsuper additivity of convex functions

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) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Cites Work

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• Reverse Young-type inequalities for matrices and operators
• Eigenvalue inequalities for convex and log-convex functions
• Weak majorization inequalities and convex functions
• Exponential inequalities for positive linear mappings
• Matrix mixed mean inequalities
• Means refinements via convexity
• Radical convex functions
• Convex functions and means of matrices
• Reversing Bellman operator inequality
• Bounds for the normalised Jensen functional
• Eigenvalue inequalities for n-tuple of matrices
• Extrapolation of convex functions
• Composite convex functions
• Operator inequalities via geometric convexity
• Improved Jensen's inequality

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