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Construction of \(\sigma\)-orthogonal polynomials and Gaussian quadrature formulas - MaRDI portal

Construction of \(\sigma\)-orthogonal polynomials and Gaussian quadrature formulas (Q996796)

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scientific article; zbMATH DE number 5172664
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Construction of \(\sigma\)-orthogonal polynomials and Gaussian quadrature formulas
scientific article; zbMATH DE number 5172664

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    Construction of \(\sigma\)-orthogonal polynomials and Gaussian quadrature formulas (English)
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    19 July 2007
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    The paper deals with the construction of generalized orthogonal polynomials and the corresponding Gaussian quadrature formulas. For these generalized quadrature formulas of Gauss' type, a simple method to calculate the Cotes numbers is established. Several numerical examples are presented.
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    Gaussian quadrature formulas
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    algorithm
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    generalized orthogonal polynomials
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    Cotes numbers
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    numerical examples
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