Interpolation polynomials of entire functions for Erdős-type weights (Q355713)

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scientific article; zbMATH DE number 6191157
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Interpolation polynomials of entire functions for Erdős-type weights
scientific article; zbMATH DE number 6191157

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    Interpolation polynomials of entire functions for Erdős-type weights (English)
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    25 July 2013
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    Summary: Let \(\mathbb R = (-\infty, \infty)\), and let \(Q \in C^1(\mathbb R) : \mathbb R \to [0, \infty)\) be an even function. We consider some Lagrange interpolation polynomials and the Gauss-Jacobi quadrature formula of entire functions associated with Erdős-type weights \(w(x) = e^{-Q(x)}\), \(x \in \mathbb R\), and we will estimate the error terms.
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    Lagrange interpolation
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    Gauss-Jacobi quadrature formula
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