Remark on inequalities between Hölder and Lehmer means

DOI10.1006/jmaa.2000.6834zbMath0957.26010OpenAlexW2007842613MaRDI QIDQ1576985

Zheng Liu

Publication date: 22 March 2001

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

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6834

zbMATH Keywords

inequalitiesHölder meansLehmer means\(n\) arguments

Mathematics Subject Classification ID

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

Related Items (6)

Optimal Lehmer mean bounds for the Toader mean ⋮ Sharp power-type Heronian and Lehmer means inequalities for the complete elliptic integrals ⋮ Optimal Lehmer mean bounds for the combinations of identric and logarithmic means ⋮ Sharp power mean bounds for the one-parameter harmonic mean ⋮ Convexity and concavity of the complete elliptic integrals with respect to Lehmer mean ⋮ On the application of Lehmer means in signal and image processing

Cites Work

• Unnamed Item
• Inequalities for sums of powers
• Hölder means, Lehmer means, and \(x^{-1} \log \cosh x\)
• A Class of Mean Value Functions

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