A new family of weighted operator means including the weighted Heron, logarithmic and Heinz means

DOI10.7153/jmi-2020-14-13zbMath1445.47018OpenAlexW3012059712MaRDI QIDQ5109755

Masatoshi Ito

Publication date: 13 May 2020

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

Full work available at URL: https://doi.org/10.7153/jmi-2020-14-13

zbMATH Keywords

operator monotone functionweighted meansoperator mean

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Means (26E60) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (2)

On the weighted chaotic identric mean of two accretive matrices ⋮ A family of weighted operator means including the weighted Heinz and Lehmer means

Cites Work

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• Some properties of weighted operator means and characterizations of interpolational means
• Inequalities for differences of power means in two variables
• Weighted multivariable operator means of positive definite operators
• Concrete examples of operator monotone functions obtained by an elementary method without appealing to Löwner integral representation
• Means of positive linear operators
• The weighted logarithmic mean
• On a class of new means including the generalized Schwab-Borchardt mean
• A new majorization between functions, polynomials, and operator inequalities
• A new class of operator monotone functions via operator means
• Means for matrices and comparison of their norms
• Estimations of the weighted power mean by the Heron mean and related inequalities for determinants and traces
• Estimations of power difference mean by Heron mean

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