On improved arithmetic-geometric mean and Heinz inequalities for matrices

DOI10.7153/JMI-06-42zbMath1253.15011OpenAlexW2318648436MaRDI QIDQ2914889

Shahid Qaisar, Chuanjiang He, Li-Min Zou

Publication date: 21 September 2012

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

Full work available at URL: http://files.ele-math.com/articles/jmi-06-42.pdf

zbMATH Keywords

arithmetic-geometric mean inequalityunitarily invariant normspositive semidefinite matrixHeinz inequality

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (5)

A generalization and an application of the arithmetic-geometric mean inequality for the Frobenius norm ⋮ Reverses of Young type inequalities for matrices using the classical Kantorovich constant ⋮ Unitarily invariant norm inequalities involving Heron and Heinz means ⋮ Reverses of Young and Heinz inequalities for positive linear operators ⋮ The new reverses of Young type inequalities for numbers, operators and matrices

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