Estimations of the weighted power mean by the Heron mean and related inequalities for determinants and traces

DOI10.7153/mia-2019-22-64zbMath1425.26023OpenAlexW2966146313MaRDI QIDQ5244275

Masatoshi Ito

Publication date: 20 November 2019

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2019-22-64

zbMATH Keywords

trace inequalitydeterminant inequalitypower meanoperator meanHeron mean

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Miscellaneous inequalities involving matrices (15A45) Means (26E60)

Related Items (4)

Determinant inequalities for positive definite matrices via Diananda's result for arithmetic and geometric weighted means ⋮ A new family of weighted operator means including the weighted Heron, logarithmic and Heinz means ⋮ Determinant Inequalities for Positive Definite Matrices Via Additive and Multiplicative Young Inequalities ⋮ Unnamed Item

Cites Work

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• Some matrix inequalities for weighted power mean
• Inequalities for differences of power means in two variables
• Improved Young and Heinz inequalities for matrices
• Means of positive linear operators
• Estimations of the Lehmer mean by the Heron mean and their generalizations involving refined Heinz operator inequalities
• A note on generalized Heronian means
• Optimal one-parameter mean bounds for the convex combination of arithmetic and geometric means
• Young-type inequalities and their matrix analogues
• Reverse Young and Heinz inequalities for matrices
• Estimations of power difference mean by Heron mean

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