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

Hölder means, Lehmer means, and \(x^{-1} \log \cosh x\) (Q1923912)

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scientific article; zbMATH DE number 934212
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English
Hölder means, Lehmer means, and \(x^{-1} \log \cosh x\)
scientific article; zbMATH DE number 934212

    Statements

    Hölder means, Lehmer means, and \(x^{-1} \log \cosh x\) (English)
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    6 April 1997
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    The author offers proofs, generalizations and interesting applications of the chain of inequalities which places \(\log\text{cosh }x\) between \(x\text{ tanh}(x/2)\) and \(0\).
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    power means
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    Goldziher-Beckenbach means
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    hyperbolic functions
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    concave functions
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    inequalities
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