Two new extensions of the weighted arithmetic-geometric mean inequality via weak sub-majorization

DOI10.1007/S13226-022-00223-YzbMath1501.15014OpenAlexW4210267137MaRDI QIDQ2095096

Xinh Thi Dinh, Hue Ngoc Nguyen, Huy Quoc Duong

Publication date: 9 November 2022

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-022-00223-y

zbMATH Keywords

positive definite matrixarithmetic-geometric mean inequalityYoung inequalityweak sub-majorization

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Miscellaneous inequalities involving matrices (15A45) Inequalities for sums, series and integrals (26D15)

Cites Work

• Improved Young and Heinz inequalities for matrices
• Further generalizations, refinements, and reverses of the Young and Heinz inequalities
• Comparison of differences between arithmetic and geometric means
• On refined Young inequalities and reverse inequalities
• Reverse Young and Heinz inequalities for matrices
• A generalization of Young-type inequalities
• A new generalized refinement of the weighted arithmetic-geometric mean inequality
• Improved Jensen-type inequalities via linear interpolation and applications
• Inequalities: theory of majorization and its applications

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