Gaussian quadrature rules and numerical examples for strong extensions of mass distribution functions (Q1301972)
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scientific article; zbMATH DE number 1334873
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Gaussian quadrature rules and numerical examples for strong extensions of mass distribution functions |
scientific article; zbMATH DE number 1334873 |
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Gaussian quadrature rules and numerical examples for strong extensions of mass distribution functions (English)
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21 November 2000
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The aim of this paper is to show how the transformation method given by \textit{B. A. Hagler} [Ph.D. Thesis, University of Colorado, Boulder (1997)] and by \textit{B. A. Hagler, W. B. Jones}, and \textit{W. J. Thron} [Lect. Notes Pure Appl. Math. 199, 187-208 (1998; Zbl 0932.33005)] can be used to obtain the Gaussian quadrature rules for strong extensions of mass distribution functions. The authors provide numerical examples of strong Gaussian quadrature approximation to the integrals of elementary functions with respect to selected strong distributions.
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Gaussian quadrature
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moment problems
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orthogonal polynomial
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orthogonal Laurent polynomial
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strong distribution
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numerical examples
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0.8866105
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0.88476604
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0.8820917
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0.8788694
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0.8772353
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0.8769048
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0.8751091
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0.8746474
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