Geodesic
On the uniform boundedness of Vallée Poussin means in the system of Meixner polynomials
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 21 (2024) no. 2, pp. 978-989 Cet article a éte moissonné depuis la source Math-Net.Ru

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Approximation properties of the de la Vallée Poussin means $V_{n+m,N}^\alpha(f,x)$ of Fourier–Meixner sums are studied. In particular, for $an\le m\le bn$ and $n+m\le \lambda N$ the existence of a constant $c(a,b,\alpha,\lambda)$ is established such that $\|V^\alpha_{n+m,N}(f)\|\le c(a,b,\alpha,\lambda)\|f\|$, where $\|f\|$ is the uniform norm of the function $f$ on the grid $\Omega_\delta$.
Keywords: approximation properties, Meixner polynomials, Fourier series
Mots-clés : de la Vallée Poussin means. 
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R. M. Gadzhimirzaev. On the uniform boundedness of Vallée Poussin means in the system of Meixner polynomials. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 21 (2024) no. 2, pp. 978-989. http://geodesic.mathdoc.fr/item/SEMR_2024_21_2_a58/

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