Bounds for A-G, A-H, G-H, and a family of inequalities of Ky Fan's type, using a general method

DOI10.1006/jmaa.1999.6688zbMath0944.26027OpenAlexW2052244282WikidataQ56067756 ScholiaQ56067756MaRDI QIDQ1972561

A. McD. Mercer

Publication date: 12 September 2000

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

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6688

zbMATH Keywords

inequalitiesarithmetic meangeometric meanKy Fan's inequalityharmonic mean

Mathematics Subject Classification ID

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

Related Items (6)

On a conjecture on the symmetric means ⋮ Sharp bounds for the difference between the arithmetic and geometric means ⋮ Inequalities for differences of power means in two variables ⋮ On a class of Ky Fan-type inequalities ⋮ Improved upper and lower bounds for the difference \(A_n-G_n\) ⋮ Comparison of arithmetic, geometric, and harmonic means

Cites Work

• Unnamed Item
• On an inequality of Ky Fan
• On a Ky Fan inequality of the complementary A-G type and its variants
• A short proof of Ky Fan's arithmetic-geometric inequality
• A new refinement of the arithmetic mean -- geometric mean inequality
• A Refinement of the Arithmetic Mean-Geometric Mean Inequality
• Analytic Inequalities

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