Improved Heinz inequalities via the Jensen functional

DOI10.2478/s11533-013-0270-4zbMath1295.47006OpenAlexW1977963624MaRDI QIDQ386399

Mario Krnić, Josip E. Pečarić

Publication date: 9 December 2013

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-013-0270-4

zbMATH Keywords

monotonicityconvex functionrefinementunitarily invariant normJensen functionalHeinz meanHeinz norm inequalitiesHeinz operator inequalities

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Convexity of real functions in one variable, generalizations (26A51)

Related Items (4)

Reverses and variations of Heinz inequality ⋮ Some means inequalities for positive operators in Hilbert spaces ⋮ Some inequalities for Heinz operator mean ⋮ Generalization of Heinz operator inequalities via hyperbolic functions

Cites Work

• On the convexity of the Heinz means
• Jensen's operator and applications to mean inequalities for operators in Hilbert space
• Improved Young and Heinz inequalities for matrices
• Means of positive linear operators
• Properties of some functionals related to Jensen's inequality
• Improved arithmetic-geometric and Heinz means inequalities for Hilbert space operators
• Reverse Young and Heinz inequalities for matrices
• More Matrix Forms of the Arithmetic-Geometric Mean Inequality
• Means for matrices and comparison of their norms
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