Asymptotic properties of orthogonal polynomials with respect to a non-discrete Jacobi-Sobolev inner product

DOI10.1007/s10440-009-9511-8zbMath1203.33007OpenAlexW2029314524MaRDI QIDQ970517

Bujar Xh. Fejzullahu, Francisco Marcellán

Publication date: 19 May 2010

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-009-9511-8

zbMATH Keywords

asymptoticscoherent pairs of measuresJacobi-Sobolev orthogonal polynomials

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)

Related Items (2)

Jacobi-Sobolev orthogonal polynomials: asymptotics for \(N\)-coherence of measures ⋮ Mehler-Heine type formulas for Charlier and Meixner polynomials

Cites Work

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• On convergence and divergence of Fourier-Bessel series
• A Cohen type inequality for Fourier expansions of orthogonal polynomials with a nondiscrete Jacobi-Sobolev inner product
• Cohen Type Inequalities for Jacobi, Laguerre and Hermite Expansions
• Generalized Jacobi Weights, Christoffel Functions, and Jacobi Polynomials
• Asymptotics for Sobolev orthogonal polynomials with coherent pairs: The Jacobi case, type 1

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