Sharp bounds for the difference between the arithmetic and geometric means

DOI10.1007/s00013-012-0434-7zbMath1264.26037arXiv1203.4454OpenAlexW2060370382MaRDI QIDQ1930877

Jésus M. Aldaz

Publication date: 14 January 2013

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.4454

zbMATH Keywords

inequalities for means of many arguments

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Means (26E60)

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Cites Work

• A stability version of Hölder's inequality
• Concentration of the ratio between the geometric and arithmetic means
• A new refinement of the arithmetic mean -- geometric mean inequality
• Bounds for A-G, A-H, G-H, and a family of inequalities of Ky Fan's type, using a general method
• A measure-theoretic version of the Dragomir-Jensen inequality
• Comparison of differences between arithmetic and geometric means
• On refined Young inequalities and reverse inequalities
• Selfimprovemvent of the inequality between arithmetic and geometric means
• Bounds for the normalised Jensen functional
• A refinement of the inequality between arithmetic and geometric means
• A Refinement of the Arithmetic Mean-Geometric Mean Inequality

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