A sharp double inequality between Seiffert, arithmetic, and geometric means

DOI10.1155/2012/684834zbMath1246.26017OpenAlexW2052471515WikidataQ58695882 ScholiaQ58695882MaRDI QIDQ448778

Miao-Kun Wang, Yu-Ming Chu, Ying-Qing Song, Wei-Ming Gong

Publication date: 7 September 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/684834

zbMATH Keywords

arithmetic meangeometric meanSeiffert mean

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (4)

The first Seiffert mean is strictly \((G, A)\)-super-stabilizable ⋮ Some new inequalities of Hermite-Hadamard type for \(s\)-convex functions with applications ⋮ Sharp Cusa type inequalities with two parameters and their applications ⋮ Optimal bounds for the first and second Seiffert means in terms of geometric, arithmetic and contraharmonic means

Cites Work

• Two sharp double inequalities for Seiffert mean
• A best-possible double inequality between Seiffert and harmonic means
• An optimal double inequality between Seiffert and geometric means
• The optimal convex combination bounds for Seiffert's mean
• The optimal convex combination bounds of arithmetic and harmonic means for the Seiffert's mean
• On certain means of two arguments and their extensions
• Sharp power mean bounds for the combination of Seiffert and geometric means
• Sharp bounds for Seiffert means in terms of Lehmer means
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