This article is cited 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.

UDC: 517.518.822

MSC: 35R30

Received: 12.05.2023
Revised: 08.11.2023
Accepted: 28.11.2023

DOI: 10.33048/smzh.2024.65.104

 English version: Siberian Mathematical Journal, 2024, 65:1, 30–43