On the matrix harmonic mean

DOI10.7153/jmi-2018-12-68zbMath1404.15016arXiv1805.06613OpenAlexW2962722247MaRDI QIDQ4614891

Mohammad S. Sababheh

Publication date: 1 February 2019

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

Full work available at URL: https://arxiv.org/abs/1805.06613

zbMATH Keywords

positive matricesnorm inequalitiesmatrix meansharmonic meansHeinz means

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (1)

Sharp bounds for Heinz mean by Heron mean and other means

Cites Work

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• Reverse arithmetic-harmonic mean and mixed mean operator inequalities
• Reverse Young-type inequalities for matrices and operators
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• On the convexity of the Heinz means
• Operator inequalities involving improved Young and its reverse inequalities
• Interpolating the arithmetic--geometric mean inequality and its operator version
• Improved Young and Heinz inequalities for matrices
• Arithmetic-geometric mean and related inequalities for operators
• Norm inequalities for fractional powers of positive operators
• Young type inequalities for positive operators
• Matrix Young inequalities for the Hilbert-Schmidt norm
• Integral inequalities of the Heinz means as convex functions
• Refined Young inequality with Kantorovich constant
• Log and harmonically log-convex functions related to matrix norms
• Positive Definite Functions and Operator Inequalities
• Quadratic interpolation of the Heinz means
• Complete interpolation of matrix versions of Heron and Heinz means

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