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

DOI10.1134/s003744662401004xMaRDI QIDQ6193917

R. M. Gadzhimirzaev

Publication date: 14 February 2024

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

zbMATH Keywords

Laguerre polynomialFourier seriesapproximation propertiesSobolev-type inner product

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximation by polynomials (41A10) Summability and absolute summability of Fourier and trigonometric series (42A24)

Cites Work

• Approximation by polynomials in Sobolev spaces with Jacobi weight
• On representation of a solution to the Cauchy problem by a Fourier series in Sobolev-orthogonal polynomials generated by Laguerre polynomials
• Jacobi-Sobolev orthogonal polynomials and spectral methods for elliptic boundary value problems
• Approximation properties of the Vallée-Poussin means of partial sums of a special series in Laguerre polynomials
• On the Uniform Convergence of the Fourier Series by the System of Polynomials Generated by the System of Laguerre Polynomials
• Mean Convergence of Expansions in Laguerre and Hermite Series
• Mean Convergence of Hermite and Laguerre Series. I
• Approximation by polynomials in Sobolev spaces associated with classical moment functionals
• Unnamed Item

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