Estimates for the convergence rate of a Fourier series in Laguerre-Sobolev polynomials
type: Item
instance of: scholarly article
title: Estimates for the convergence rate of a Fourier series in Laguerre-Sobolev polynomials
zbMATH Open document ID: 1546.4101
author: R. M. Gadzhimirzaev
published in: Siberian Mathematical Journal
publication date: 2024-07-19T00:00:00Z
review text: In a Sobolev type space with weight \(e^{-x}\), the Fourier series are considered in polynomials orthogonal in Sobolev's sense and generated by the classical Laguerre polynomials. In the study of approximation by the corresponding partial sums a rate of convergence is obtained.
reviewed by: Elijah Liflyand
Mathematics Subject Classification ID: 41A25
Mathematics Subject Classification ID: 41A58
Mathematics Subject Classification ID: 42C10
zbMATH DE Number: 7883887
zbMATH Keywords: Laguerre-Sobolev polynomial
zbMATH Keywords: Fourier series
zbMATH Keywords: convergence rate
zbMATH Keywords: scalar product of Sobolev type
MaRDI profile type: Publication
cites work: An Application of Sobolev Orthogonal Polynomials to the Computation of a Special Hankel Determinant
cites work: On Fourier series in generalized eigenfunctions of a discrete Sturm-Liouville operator
cites work: Sobolev-orthogonal systems of functions and the Cauchy problem for ODEs
cites work: Q4282707
cites work: On Sobolev orthogonal polynomials
cites work: Sobolev-orthogonal systems of functions and some of their applications
cites work: Sobolev orthogonal polynomials and spectral methods in boundary value problems
cites work: On the Pollard decomposition method applied to some Jacobi-Sobolev expansions
cites work: Fourier series of Jacobi–Sobolev polynomials
cites work: Asymptotic properties and Fourier expansions of orthogonal polynomials with a non-discrete Gegenbauer-Sobolev inner product
cites work: Jacobi-Sobolev orthogonal polynomials: asymptotics and a Cohen type inequality
cites work: On Fourier series of a discrete Jacobi--Sobolev inner product
cites work: Relative asymptotics and Fourier series of orthogonal polynomials with a discrete Sobolev inner product
cites work: On linear summability methods of Fourier series in polynomials orthogonal in a discrete Sobolev space
cites work: Fourier series of Gegenbauer-Sobolev polynomials
cites work: On representation of a solution to the Cauchy problem by a Fourier series in Sobolev-orthogonal polynomials generated by Laguerre polynomials
cites work: On multipliers for Fourier series in Sobolev orthogonal polynomials
cites work: On the approximative properties of Fourier series in Laguerre-Sobolev polynomials
cites work: On the Uniform Convergence of the Fourier Series by the System of Polynomials Generated by the System of Laguerre Polynomials
cites work: A problem concerning orthogonal polynomials.
cites work: Mean Convergence of Expansions in Laguerre and Hermite Series
cites work: Mean Convergence of Hermite and Laguerre Series. I
cites work: Q3999269
cites work: Approximation properties of the Vallée-Poussin means of partial sums of a special series in Laguerre polynomials
DOI: 10.1134/S0037446624040025
description: scientific article; zbMATH DE number 7883887