The optimal convex combination bounds for Seiffert's mean

DOI10.1155/2011/686834zbMath1221.26037OpenAlexW1982819439WikidataQ59266858 ScholiaQ59266858MaRDI QIDQ535536

Xiang-Ju Meng, Hong Liu

Publication date: 13 May 2011

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

Full work available at URL: https://eudml.org/doc/225585

zbMATH Keywords

geometric meanharmonic meancontraharmonic meanSeiffert's mean

Mathematics Subject Classification ID

Means (26E60)

Related Items (11)

Optimal lower generalized logarithmic mean bound for the Seiffert mean ⋮ Sub-super-stabilizability of certain bivariate means via mean-convexity ⋮ Optimal bounds for the Neuman-Sándor mean in terms of the convex combination of the first and second Seiffert means ⋮ An optimal double inequality between Seiffert and geometric means ⋮ A sharp double inequality between Seiffert, arithmetic, and geometric means ⋮ Sharp bounds for Seiffert mean in terms of contraharmonic mean ⋮ Jordan type inequalities for hyperbolic functions and their applications ⋮ Three families of two-parameter means constructed by trigonometric functions ⋮ Optimal bounds for the first and second Seiffert means in terms of geometric, arithmetic and contraharmonic means ⋮ Optimal bounds for Neuman-Sándor mean in terms of the geometric convex combination of two Seiffert means ⋮ On certain conjectures for the two Seiffert means

Cites Work

• The optimal convex combination bounds of arithmetic and harmonic means for the Seiffert's mean
• Two sharp inequalities for power mean, geometric mean, and harmonic mean
• Inequalities for generalized logarithmic means
• Some comparison inequalities for generalized Muirhead and identric means
• Optimal inequalities for generalized logarithmic, arithmetic, and geometric means
• Optimal power mean bounds for the weighted geometric mean of classical means
• Optimal inequalities among various means of two arguments
• Best possible inequalities between generalized logarithmic mean and classical means
• The optimal upper and lower power mean bounds for a convex combination of the arithmetic and logarithmic means
• A refinement of various mean inequalities
• On certain means of two arguments and their extensions
• The optimization for the inequalities of power means
• Sharp bounds for Seiffert means in terms of Lehmer means
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