Some inequalities involving interpolations between arithmetic and geometric mean

DOI10.2478/tmmp-2022-0007OpenAlexW4310282105MaRDI QIDQ2107426

Hongliang Zuo, Yu-Wei Li

Publication date: 1 December 2022

Published in: Tatra Mountains Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/tmmp-2022-0007

zbMATH Keywords

operator inequalitiesweighted power meanHeinz meanHeron mean

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Interpolating the arithmetic--geometric mean inequality and its operator version
• Some results of Heron mean and Young's inequalities
• Improved Young and Heinz inequalities for matrices
• Functional calculus for sesquilinear forms and the purification map
• Means of positive linear operators
• Means refinements via convexity
• Radical convex functions
• Reverse Young and Heinz inequalities for matrices
• Quadratic interpolation of the Heinz means
• On the arithmetic-geometric mean inequality
• Inequalities: theory of majorization and its applications

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