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This article is cited in 1 scientific paper (total in 1 paper)
On the approximative properties of Fourier series in Laguerre–Sobolev polynomials
R. M. Gadzhimirzaev Daghestan Federal Research Centre of the Russian Academy of Sciences, Makhachkala
Abstract:
Considering the approximation of a function $f$ from a Sobolev space by the partial sums of Fourier series in a system of Sobolev orthogonal polynomials generated by classical Laguerre polynomials, we obtain an estimate for the convergence rate of the partial sums to $f$.
Keywords:
Laguerre polynomial, Fourier series, approximation properties, Sobolev-type inner product.
Received: 12.05.2023 Revised: 08.11.2023 Accepted: 28.11.2023
Citation:
R. M. Gadzhimirzaev, “On the approximative properties of Fourier series in Laguerre–Sobolev polynomials”, Sibirsk. Mat. Zh., 65:1 (2024), 38–51
Linking options:
https://www.mathnet.ru/eng/smj7838 https://www.mathnet.ru/eng/smj/v65/i1/p38
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