Optimal inequalities for generalized logarithmic, arithmetic, and geometric means

DOI10.1155/2010/806825zbMath1187.26015OpenAlexW2035875137WikidataQ59250187 ScholiaQ59250187MaRDI QIDQ962528

Bo-Yong Long, Yu-Ming Chu

Publication date: 7 April 2010

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

Full work available at URL: https://eudml.org/doc/227813

Mathematics Subject Classification ID

Means (26E60)

Related Items (14)

Ostrowski type inequalities involving conformable fractional integrals ⋮ Optimal lower generalized logarithmic mean bound for the Seiffert mean ⋮ The optimal convex combination bounds of arithmetic and harmonic means for the Seiffert's mean ⋮ An optimal double inequality for means ⋮ Proof of one optimal inequality for generalized logarithmic, arithmetic, and geometric means ⋮ An optimal double inequality between power-type Heron and Seiffert means ⋮ Inequalities between power means and convex combinations of the harmonic and logarithmic means ⋮ An optimal double inequality between geometric and identric means ⋮ Sharp bounds by the generalized logarithmic mean for the geometric weighted mean of the geometric and harmonic means ⋮ Sharp bounds for Sándor-Yang means in terms of quadratic mean ⋮ The optimal convex combination bounds for Seiffert's mean ⋮ The optimal upper and lower power mean bounds for a convex combination of the arithmetic and logarithmic means ⋮ Best possible bounds for Yang mean using generalized logarithmic mean ⋮ Unnamed Item

Cites Work

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• The Geometric, Logarithmic, and Arithmetic Mean Inequality
• The Power Mean and the Logarithmic Mean
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• On certain inequalities for means. III

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