Asymptotics of polynomials orthogonal with respect to a discrete-complex Sobolev inner product

DOI10.1016/j.cam.2004.03.025zbMath1060.42014OpenAlexW2055250171MaRDI QIDQ1772326

L. Salto, I. Alvarez Rocha

Publication date: 18 April 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.03.025

zbMATH Keywords

orthogonal polynomialsSobolev inner product

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (4)

Asymptotics for Laguerre-Sobolev type orthogonal polynomials modified within their oscillatory regime ⋮ Uniform convergence of basic Fourier-Bessel series on a \(q\)-linear grid ⋮ Recurrence relations and outer relative asymptotics of orthogonal polynomials with respect to a discrete Sobolev type inner product ⋮ Hilbert transform and related topics associated with Jacobi–Dunkl operators of compact and noncompact types

Cites Work

• 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 a discrete Jacobi--Sobolev inner product
• Relative asymptotics and Fourier series of orthogonal polynomials with a discrete Sobolev inner product
• Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product
• Asymptotics of orthonormal polynomials in the presence of a denumerable set of mass points
• Strong and Weak Convergence of Orthogonal Polynomials
• Orthogonal polynomials
• On Rakhmanov’s theorem for Jacobi matrices

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