Gaussian quadrature rules with exponential weights on \((-1,1)\) (Q664535)
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scientific article; zbMATH DE number 6010839
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Gaussian quadrature rules with exponential weights on \((-1,1)\) |
scientific article; zbMATH DE number 6010839 |
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Gaussian quadrature rules with exponential weights on \((-1,1)\) (English)
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2 March 2012
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The main goal of the paper is to apply Gaussian quadrature rules based on the zeros of Pollaczek-type polynomials to the Lagrange interpolation process and to prove the convergence of a Nyström method. The authors give a quadrature rule that requires a lower computational cost and converges with the order of the best polynomial approximation. The estimates in this paper cannot be improved for this classes of functions.
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Gaussian quadrature rules
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Pollaczek-type polynomials
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Fredholm integral equation
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Lagrange interpolation
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convergence
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Nyström method
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