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Positive interpolatory quadrature formulas and para-orthogonal polynomials - MaRDI portal

Positive interpolatory quadrature formulas and para-orthogonal polynomials (Q1779436)

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scientific article; zbMATH DE number 2173190
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Positive interpolatory quadrature formulas and para-orthogonal polynomials
scientific article; zbMATH DE number 2173190

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    Positive interpolatory quadrature formulas and para-orthogonal polynomials (English)
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    1 June 2005
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    It is established a relation between quadrature formulas in the interval \([-1,1]\) that approximate integrals of the form \[ I_w(f)=\inf^\pi_{-\pi}f(e^{i\theta})w(\theta)\,d\theta. \]
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    Szegő's polynomials
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    paraorthogonal polynomials
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    Szegő's quadrature
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    interpolatory quadrature formula
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