Asymptotics on Laguerre or Hermite polynomial expansions and their applications in Gauss quadrature (Q432395)
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scientific article; zbMATH DE number 6052867
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotics on Laguerre or Hermite polynomial expansions and their applications in Gauss quadrature |
scientific article; zbMATH DE number 6052867 |
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Asymptotics on Laguerre or Hermite polynomial expansions and their applications in Gauss quadrature (English)
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4 July 2012
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The author studies the expansion of a function \(f\) of finite regularity in terms of Laguerre and Hermite orthogonal polynomials. More precisely, for the Laguerre and Hermite polynomial series, he deduces bounds for the coefficients of the expansions and for the error of the \(N\)-term approximation. Then, these formulas are applied for establishing error bounds for Gauss-Laguerre, Radau-Laguerre and Gauss-Hermite quadratures.
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Laguerre polynomial
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Hermite polynomial
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Gauss-type quadrature
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asymptotic
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error bounds
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Gauss-Laguerre quadratur
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Radau-Laguerre quadrature
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Gauss-Hermite quadrature
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