Geodesic
Approximation properties of de la Vallée Poussin means of partial Fourier series in Meixner–Sobolev polynomials
Sbornik. Mathematics, Tome 215 (2024) no. 9, pp. 1202-1223 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study approximations of a function $f\in W^r_{l^2_{\omega}(\Omega_\delta)}$, $\omega(x)=e^{-x}(1-e^{-\delta})$, by the de la Vallée Poussin means of partial sums of the Fourier series in the Sobolev orthonormal system of polynomials $\{m_{n,N}^{0,r}(x)\}$ generated by the system of Meixner polynomials. Bibliography: 32 titles.
Keywords: Sobolev type inner product, Fourier series, Meixner polynomials, approximation properties
Mots-clés : de la Vallée Poussin means. 
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R. M. Gadzhimirzaev. Approximation properties of de la Vallée Poussin means of partial Fourier series in Meixner–Sobolev polynomials. Sbornik. Mathematics, Tome 215 (2024) no. 9, pp. 1202-1223. http://geodesic.mathdoc.fr/item/SM_2024_215_9_a3/

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