A mixed arithmetic-mean-harmonic-mean matrix inequality

DOI10.1016/0024-3795(95)00269-3zbMath0869.15014OpenAlexW2155782721MaRDI QIDQ1914244

Yanyan Li

Publication date: 25 June 1997

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(95)00269-3

zbMATH Keywords

Hermitian matricespartial orderingmixed arithmetic-geometric mean equality

Mathematics Subject Classification ID

Miscellaneous inequalities involving matrices (15A45)

Related Items

Reverse arithmetic-harmonic mean and mixed mean operator inequalities ⋮ Mixed mean inequalities for several positive definite matrices ⋮ THE MIXED AM-GM AND GM-HM INEQUALITIES ⋮ Inequalities for the λ-weighted mixed arithmetic-geometric-harmonic means of sector matrices

Cites Work

• Unnamed Item
• Series and parallel addition of matrices
• Inequalities between means of positive operators
• Proof of a Mixed Arithmetic-Mean, Geometric-Mean Inequality
• Upper and lower bounds for the arithmetic-geometric-harmonic means of positive definite matrices

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