The optimal convex combination bounds of arithmetic and harmonic means in terms of power mean

DOI10.7153/jmi-06-24zbMath1247.26048OpenAlexW2062256506MaRDI QIDQ2902017

Walther Janous, Yu-Ming Chu, Wei-Feng Xia

Publication date: 1 August 2012

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: http://files.ele-math.com/articles/jmi-06-24.pdf

zbMATH Keywords

arithmetic meanharmonic meanpower mean

Mathematics Subject Classification ID

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

Related Items (8)

Monotonicity properties and bounds involving the complete elliptic integrals of the first kind ⋮ Convexity and concavity of the modified Bessel functions of the first kind with respect to Hölder means ⋮ Some new inequalities of Hermite-Hadamard type for \(s\)-convex functions with applications ⋮ Sharp power mean bounds for Seiffert mean ⋮ Asymptotic expansion and bounds for complete elliptic integrals ⋮ A necessary and sufficient condition for the convexity of the generalized elliptic integral of the first kind with respect to Hölder mean ⋮ Extensions and applications of power-type Aczél-Vasić-Pečarić's inequalities ⋮ Optimal inequalities for a Toader-type mean by quadratic and contraharmonic means

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