On the arithmetic-geometric mean inequality

DOI10.7153/JMI-2021-15-84zbMath1480.26024OpenAlexW3201833580MaRDI QIDQ5158232

Mohammad S. Sababheh, Shigeru Furuichi, Z. Heydarbeygi, Hamid Reza Moradi

Publication date: 21 October 2021

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2021-15-84

zbMATH Keywords

convex functionarithmetic-geometric mean inequalityHeinz meanpositive real numbers

Mathematics Subject Classification ID

Convexity of real functions in one variable, generalizations (26A51) Means (26E60)

Related Items (1)

Some inequalities involving interpolations between arithmetic and geometric mean

Cites Work

• Convexity and matrix means
• Improved Young and Heinz inequalities for matrices
• More accurate operator means inequalities
• On further refinements for Young inequalities
• Radical convex functions
• An extension of Jensen's operator inequality and its application to Young inequality
• Integral inequalities of the Heinz means as convex functions
• Refined Heinz operator inequalities
• Reverse Young and Heinz inequalities for matrices
• Interpolated Young and Heinz inequalities
• New sharp inequalities for operator means

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