Proof of one optimal inequality for generalized logarithmic, arithmetic, and geometric means

DOI10.1155/2010/902432zbMath1210.26033OpenAlexW2156031550WikidataQ59252715 ScholiaQ59252715MaRDI QIDQ608012

Ladislav Matejíčka

Publication date: 6 December 2010

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

Full work available at URL: https://doi.org/10.1155/2010/902432

zbMATH Keywords

arithmetic meangeometric meangeneralized logarithmic mean

Mathematics Subject Classification ID

Means (26E60) Inequalities in real analysis (26D99)

Related Items (3)

Optimal lower generalized logarithmic mean bound for the Seiffert mean ⋮ Best possible bounds for Yang mean using generalized logarithmic mean ⋮ Sharp bounds for the weighted geometric mean of the first Seiffert and logarithmic means in terms of weighted generalized Heronian mean

Cites Work

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• Optimal inequalities among various means of two arguments
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• Ungleichungen für Mittelwerte. (Inequalities for means)
• The power mean and the logarithmic mean
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• On certain inequalities for means. II
• A note on generalized Heronian means
• Monotonicity of ratio between the generalized logarithmic means
• The Geometric, Logarithmic, and Arithmetic Mean Inequality
• The Power Mean and the Logarithmic Mean
• The Logarithmic Mean
• On certain inequalities for means. III
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