A generalization and an application of the arithmetic-geometric mean inequality for the Frobenius norm

DOI10.1186/s13660-018-1732-9zbMath1498.15027OpenAlexW2809045795WikidataQ55284325 ScholiaQ55284325MaRDI QIDQ824618

Xuesha Wu

Publication date: 15 December 2021

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-018-1732-9

zbMATH Keywords

arithmetic-geometric mean inequalitypositive semidefinite matricesunitarily invariant norms

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)

Cites Work

• Improved Young and Heinz inequalities for matrices
• An arithmetic-geometric mean inequality for singular values and its applications
• Some inequalities for unitarily invariant norms of matrices
• A note on reverses of Young type inequalities
• On improved arithmetic-geometric mean and Heinz inequalities for matrices
• A note on interpolation between the arithmetic-geometric mean and Cauchy-Schwarz matrix norm inequalities
• On the Singular Values of a Product of Operators
• More Matrix Forms of the Arithmetic-Geometric Mean Inequality
• Some inequalities for unitarily invariant norms
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