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 \( f \).
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Translated from Sibirskii Matematicheskii Zhurnal, 2024, Vol. 65, No. 1, pp. 38–51. https://doi.org/10.33048/smzh.2024.65.104
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Gadzhimirzaev, R.M. On the Approximative Properties of Fourier Series in Laguerre–Sobolev Polynomials. Sib Math J 65, 30–43 (2024). https://doi.org/10.1134/S003744662401004X
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DOI: https://doi.org/10.1134/S003744662401004X