Optimal lower generalized logarithmic mean bound for the Seiffert mean

DOI10.1155/2013/273653zbMath1267.26028OpenAlexW1968753392WikidataQ59002505 ScholiaQ59002505MaRDI QIDQ2375465

Yu-Ming Chu, Wei-Mao Qian, Ying-Qing Song, Yun-Liang Jiang

Publication date: 14 June 2013

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/273653

zbMATH Keywords

Seiffert mean\(p\)th generalized logarithmic mean

Mathematics Subject Classification ID

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

Related Items (1)

The first Seiffert mean is strictly \((G, A)\)-super-stabilizable

Cites Work

• Sharp bounds by the generalized logarithmic mean for the geometric weighted mean of the geometric and harmonic means
• The optimal convex combination bounds for Seiffert's mean
• Proof of one optimal inequality for generalized logarithmic, arithmetic, and geometric means
• The monotonicity of the ratio between generalized logarithmic means
• Optimal inequalities for generalized logarithmic, arithmetic, and geometric means
• The optimal generalized logarithmic mean bounds for Seiffert's mean
• Optimal evaluations of some Seiffert-type means by power means
• Monotonicity of ratio between the generalized logarithmic means
• The Power and Generalized Logarithmic Means
• Some sharp inequalities involving reciprocals of the Seiffert and other means
• An optimal double inequality between logarithmic and generalized logarithmic means
• On certain inequalities for means. III
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