Some inequalities involving beta and gamma functions (Q2747000)

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scientific article; zbMATH DE number 1657021
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Some inequalities involving beta and gamma functions
scientific article; zbMATH DE number 1657021

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    14 July 2002
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    Euler's game function
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    moments of beta distributed random variables
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    integral inequalities
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    Some inequalities involving beta and gamma functions (English)
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    By applying some integral inequalities (as Chebyshev's or Hölder's) the authors deduce certain inequalities for Euler's gamma and beta functions. Some other results are related to the moments and moments ratio of the beta distributed random variables. The reviewer notes that Theorem 4.2 (i.e., the concavity of the digamma function) is well-known in the literature.
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