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Hölder means, Lehmer means, and \(x^{-1} \log \cosh x\)

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Publication:1923912
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DOI10.1006/jmaa.1996.0349zbMath0859.26007OpenAlexW181779522MaRDI QIDQ1923912

Kenneth B. Stolarsky

Publication date: 6 April 1997

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

Full work available at URL: https://doi.org/10.1006/jmaa.1996.0349


zbMATH Keywords

inequalitieshyperbolic functionsconcave functionspower meansGoldziher-Beckenbach means


Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Elementary functions (26A09) Exponential and trigonometric functions (33B10)


Related Items (6)

Optimal Lehmer mean bounds for the Toader mean ⋮ Optimal Lehmer mean bounds for the combinations of identric and logarithmic means ⋮ Functional inequalities involving Bessel and modified Bessel functions of the first kind ⋮ Sharp inequalities for hyperbolic functions ⋮ Remark on inequalities between Hölder and Lehmer means ⋮ Sharp power mean bounds for the tangent and hyperbolic sine means




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