Markov-Sonin Gaussian rule for singular functions (Q1877207)
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scientific article; zbMATH DE number 2091435
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Markov-Sonin Gaussian rule for singular functions |
scientific article; zbMATH DE number 2091435 |
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Markov-Sonin Gaussian rule for singular functions (English)
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16 August 2004
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The authors construct a quadrature formula of Gaussian type for the computation of integrals \(\int_{\mathbb{R}} fW_\beta dx\), where \(W_\beta(x)= e^{-x^2}|x|^\beta\), \(\beta> -1\), is a Markov-Sonin weight and \(f\) can be singular at the origin. Error estimates in weighted \(L^1\) norm and some numerical tests are given.
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quadrature formulas
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orthogonal polynomials
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polynomial approximation
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numerical examples
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Markov-Sonin weight
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error estimates
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