Sharp bounds for Seiffert mean in terms of contraharmonic mean

DOI10.1155/2012/425175zbMath1231.26034OpenAlexW2040081447WikidataQ58695091 ScholiaQ58695091MaRDI QIDQ655603

Shou-Wei Hou, Yu-Ming Chu

Publication date: 5 January 2012

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

Full work available at URL: https://doi.org/10.1155/2012/425175

zbMATH Keywords

convex combination

Mathematics Subject Classification ID

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

Related Items (17)

Ostrowski type inequalities involving conformable fractional integrals ⋮ Sharp bounds for the Sándor-Yang means in terms of arithmetic and contra-harmonic means ⋮ Best possible bounds for Neuman-Sándor mean by the identric, quadratic and contraharmonic means ⋮ Bounds for the combinations of Neuman-Sándor, arithmetic, and second Seiffert means in terms of contraharmonic mean ⋮ Some new inequalities of Hermite-Hadamard type for \(s\)-convex functions with applications ⋮ Sharp bounds for Sándor-Yang means in terms of quadratic mean ⋮ Sharp power mean bounds for Seiffert mean ⋮ Sharp power mean bounds for the one-parameter harmonic mean ⋮ Three families of two-parameter means constructed by trigonometric functions ⋮ Sharp lower bounds involving circuit layout system ⋮ Optimal bounds for the first and second Seiffert means in terms of geometric, arithmetic and contraharmonic means ⋮ Sharp bounds for the Neuman-Sándor mean in terms of the power and contraharmonic means ⋮ Optimal inequalities for a Toader-type mean by quadratic and contraharmonic means ⋮ Improvements of bounds for the Sándor-Yang means ⋮ Sharp bounds for Neuman means in terms of two-parameter contraharmonic and arithmetic mean ⋮ Sharp power mean bounds for two Sándor-Yang means ⋮ Bounding the Sándor-Yang means for the combinations of contraharmonic and arithmetic means

Cites Work

• Two sharp double inequalities for Seiffert mean
• The optimal convex combination bounds for Seiffert's mean
• An optimal double inequality between power-type Heron and Seiffert means
• Sharp generalized Seiffert mean bounds for Toader mean
• On contraharmonic mean and Pythagorean triples
• The inverse mean problem of geometric mean and contraharmonic means
• Sharp bounds for Seiffert means in terms of Lehmer means
• Optimal convex combination bounds of Seiffert and geometric means for the arithmetic mean
• The Contraharmonic Mean of HSD Matrices
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