A family of refinements of Heinz inequalities of matrices

DOI10.1186/1029-242X-2014-267zbMath1375.15034OpenAlexW2130750881WikidataQ59321613 ScholiaQ59321613MaRDI QIDQ2405670

Bassam Mourad, Hassane Abbas

Publication date: 26 September 2017

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2014-267

zbMATH Keywords

Hilbert spaceconvex functionnorm inequalitiesunitarily invariant normHermite-Hadamard inequalityHeinz inequality

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)

Related Items (3)

Some means inequalities for positive operators in Hilbert spaces ⋮ Unitarily invariant norm inequalities for matrix means ⋮ Refinements of Cauchy-Schwarz norm inequality

Cites Work

• Refinements of the Heinz inequalities
• On some inequalities for unitarily invariant norms and singular values
• On the convexity of the Heinz means
• Improved Young and Heinz inequalities for matrices
• More Matrix Forms of the Arithmetic-Geometric Mean Inequality

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