Some integral inequalities with bounds for moments of distribution. II (Q2702928)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some integral inequalities with bounds for moments of distribution. II |
scientific article |
Statements
5 November 2001
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Gauss-Winckler inequality
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Stolarsky inequality
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Petrović inequality
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beta function
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gamma function
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weight
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Some integral inequalities with bounds for moments of distribution. II (English)
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The authors extended Gauss-Winckler's and Stolarsky's inequalities, involving moments of a probability distribution, in [Util. Math. 48, 233-241 (1995; Zbl 0841.26013)] and [J. Aust. Math. Soc., Ser. B 38, No. 3, 325-335 (1997; Zbl 0896.26009)]. Now, they give weighted versions of the previous results and connect them with Petrović's inequality. New results related to the Gauss-Winckler and Stolarsky inequalities are given, as well as new inequalities for the gamma and beta functions.
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