On Fourier series of a discrete Jacobi--Sobolev inner product

DOI10.1006/jath.2002.3681zbMath1019.42014OpenAlexW1963612421MaRDI QIDQ1867487

I. A. Rocha, Boris P. Osilenker, Francisco Marcellán

Publication date: 2 April 2003

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.2002.3681

zbMATH Keywords

orthogonal polynomialsdiscrete Sobolev-type inner productFourier-Sobolev series

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Other special orthogonal polynomials and functions (33C47)

Related Items (14)

Relative asymptotics and Fourier series of orthogonal polynomials with a discrete Sobolev inner product ⋮ Asymptotics for Laguerre-Sobolev type orthogonal polynomials modified within their oscillatory regime ⋮ Asymptotic behavior of the partial derivatives of Laguerre kernels and some applications ⋮ On convergence of Fourier series in discrete Jacobi–Sobolev spaces ⋮ On linear summability methods of Fourier series in polynomials orthogonal in a discrete Sobolev space ⋮ On generating Sobolev orthogonal polynomials ⋮ The uniform convergence of Fourier series in a system of polynomials orthogonal in the sense of Sobolev and associated to Jacobi polynomials ⋮ Jacobi-Sobolev orthogonal polynomials: asymptotics for \(N\)-coherence of measures ⋮ Generation and evaluation of orthogonal polynomials in discrete Sobolev spaces. I: Algorithms ⋮ Asymptotics of polynomials orthogonal with respect to a discrete-complex Sobolev inner product ⋮ Finite-difference preconditioners for superconsistent pseudospectral approximations ⋮ Generalized trace formula for polynomials orthogonal in continuous-discrete Sobolev spaces ⋮ A Cohen type inequality for Laguerre-Sobolev expansions ⋮ Sobolev orthogonal systems with two discrete points and Fourier series

Cites Work

• Unnamed Item
• Asymptotics for the ratio of leading coefficients of orthonormal polynomials on the unit circle
• Relative asymptotics for orthogonal polynomials with a Sobolev inner product
• On Fourier series of Jacobi-Sobolev orthogonal polynomials
• Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product
• Regular Sobolev type orthogonal polynomials: The Bessel case
• Strong and Weak Convergence of Orthogonal Polynomials
• Estimates for jacobi—sobolev type orthogonal polynomials

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