Fourier series for coherent pairs of Jacobi measures

DOI10.1080/10652469.2020.1802261zbMath1473.42005OpenAlexW3174867599MaRDI QIDQ5154024

Óscar Ciaurri, Judit Mínguez Ceniceros

Publication date: 1 October 2021

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2020.1802261

zbMATH Keywords

Sobolev orthogonal polynomialsJacobi polynomialsFourier expansionscoherent pair

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Other special orthogonal polynomials and functions (33C47)

Related Items (5)

Coherent pairs of measures of the second kind on the real line and Sobolev orthogonal polynomials. An application to a Jacobi case ⋮ On convergence of Fourier series in discrete Jacobi–Sobolev spaces ⋮ The uniform convergence of Fourier series in a system of polynomials orthogonal in the sense of Sobolev and associated to Jacobi polynomials ⋮ Coherent pairs of moment functionals of the second kind and associated orthogonal polynomials and Sobolev orthogonal polynomials ⋮ Sobolev orthogonal systems with two discrete points and Fourier series

Cites Work

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• Approximation properties of Fourier series of Sobolev orthogonal polynomials with Jacobi weight and discrete masses
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• Mean Convergence of Jacobi Series

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