Approximation properties of the Vallée-Poussin means of partial sums of a special series in Laguerre polynomials

DOI10.1134/S0001434621090182zbMath1495.42013OpenAlexW3209367174MaRDI QIDQ2666618

R. M. Gadzhimirzaev, T. N. Shakh-Émirov

Publication date: 23 November 2021

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434621090182

zbMATH Keywords

Laguerre polynomialsapproximation propertiesde la Vallée-Poussin meansspecial series

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Approximation by polynomials (41A10)

Related Items (1)

On the approximative properties of Fourier series in Laguerre-Sobolev polynomials

Cites Work

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• Asymptotics and weighted estimates of Meixner polynomials orthogonal on the grid \(\{ 0,\delta,2\delta,\dots\}\)
• Special series in Laguerre polynomials and their approximation properties
• Mean Convergence of Expansions in Laguerre and Hermite Series
• Mean Convergence of Hermite and Laguerre Series. I
• Mean Cesaro Summability of Laguerre and Hermite Series

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