The optimal convex combination bounds of arithmetic and harmonic means for the Seiffert's mean

DOI10.1155/2010/436457zbMath1209.26018OpenAlexW2025856079WikidataQ59254258 ScholiaQ59254258MaRDI QIDQ607966

Ye-Fang Qiu, Miao-Kun Wang, Yu-Ming Chu, Gen-Di Wang

Publication date: 6 December 2010

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

Full work available at URL: https://eudml.org/doc/228155

zbMATH Keywords

inequalities involving other types of real functionsMeans

Mathematics Subject Classification ID

Means (26E60) Inequalities involving other types of functions (26D07)

Related Items (13)

Ostrowski type inequalities involving conformable fractional integrals ⋮ An optimal double inequality between Seiffert 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 ⋮ A sharp double inequality between harmonic and identric means ⋮ A sharp double inequality between Seiffert, arithmetic, and geometric means ⋮ Sharp bounds for Sándor-Yang means in terms of quadratic mean ⋮ A note on Jordan, Adamović-Mitrinović, and Cusa inequalities ⋮ Sharp inequalities for trigonometric functions ⋮ Sharp bounds for Neuman means by harmonic, arithmetic, and contraharmonic means ⋮ Three families of two-parameter means constructed by trigonometric functions ⋮ The optimal convex combination bounds for Seiffert's mean ⋮ On certain conjectures for the two Seiffert means

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• On certain means of two arguments and their extensions
• The optimization for the inequalities of power means
• On certain inequalities for means. III

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