The optimal convex combination bounds of arithmetic and harmonic means in terms of power mean
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Publication:2902017
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
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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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