On the Uniform Convergence of the Fourier Series by the System of Polynomials Generated by the System of Laguerre Polynomials

DOI10.18500/1816-9791-2020-20-4-416-423zbMath1456.42006OpenAlexW3110230938MaRDI QIDQ5143343

R. M. Gadzhimirzaev

Publication date: 11 January 2021

Published in: Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/isu858

zbMATH Keywords

Fourier seriesLaguerre polynomialsSobolev-type inner productSobolev orthonormal polynomials

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Related Items (2)

Approximation properties of the Vallée-Poussin means similar to the partial sums of Fourier series in Laguerre-Sobolev polynomials ⋮ On the approximative properties of Fourier series in Laguerre-Sobolev polynomials

Cites Work

• Unnamed Item
• Sobolev orthogonal polynomials on the unit ball via outward normal derivatives
• Weighted Sobolev orthogonal polynomials on the unit ball
• On Sobolev orthogonal polynomials
• On representation of a solution to the Cauchy problem by a Fourier series in Sobolev-orthogonal polynomials generated by Laguerre polynomials
• A Sobolev orthogonal system of functions generated by a Walsh system
• Sobolev orthogonal polynomials on product domains
• Recurrence Relations for Polynomials Orthonormal on Sobolev, Generated by Laguerre Polynomials
• Sobolev-orthogonal systems of functions associated with an orthogonal system

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