Estimates for the convergence rate of a Fourier series in Laguerre-Sobolev polynomials (Q6575416)
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scientific article; zbMATH DE number 7883887
| Language | Label | Description | Also known as |
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| English | Estimates for the convergence rate of a Fourier series in Laguerre-Sobolev polynomials |
scientific article; zbMATH DE number 7883887 |
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Estimates for the convergence rate of a Fourier series in Laguerre-Sobolev polynomials (English)
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19 July 2024
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In a Sobolev type space with weight \(e^{-x}\), the Fourier series are considered in polynomials orthogonal in Sobolev's sense and generated by the classical Laguerre polynomials. In the study of approximation by the corresponding partial sums a rate of convergence is obtained.
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Laguerre-Sobolev polynomial
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Fourier series
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convergence rate
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scalar product of Sobolev type
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