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Generalized Gaussian quadrature formulas - MaRDI portal

Generalized Gaussian quadrature formulas (Q1085355)

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scientific article; zbMATH DE number 3981737
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Generalized Gaussian quadrature formulas
scientific article; zbMATH DE number 3981737

    Statements

    Generalized Gaussian quadrature formulas (English)
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    1986
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    Existence and uniqueness of canonical points for best \(L_ 1\)- approximation from an extended Chebyshev system, by Hermite interpolating polynomials with free nodes of preassigned multiplicities, are proved. The results generalize results on multiple node Gaussian quadrature formulas.
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    canonical points
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    best \(L_ 1\)-approximation
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    Hermite interpolating polynomials
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    Gaussian quadrature formulas
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