Strong asymptotics for Gegenbauer-Sobolev orthogonal polynomials

DOI10.1016/S0377-0427(97)00059-9zbMath0895.33003OpenAlexW2011733026WikidataQ126351823 ScholiaQ126351823MaRDI QIDQ1362412

Juan José Moreno Balcázar, Andrei Martínez-Finkelshtein, Héctor Pijeira Cabrera

Publication date: 9 October 1997

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(97)00059-9

zbMATH Keywords

asymptoticsGegenbauer-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)

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Asymptotics of Sobolev orthogonal polynomials for symmetrically coherent pairs of measures with compact support ⋮ Asymptotics of Sobolev orthogonal polynomials for Hermite (1,1)-coherent pairs ⋮ Strong asymptotics for the continuous Sobolev orthogonal polynomials on the unit circle ⋮ Asymptotics of Sobolev orthogonal polynomials for coherent pairs of measures ⋮ A Cohen type inequality for Fourier expansions of orthogonal polynomials with a nondiscrete Jacobi-Sobolev inner product ⋮ Asymptotic properties and Fourier expansions of orthogonal polynomials with a non-discrete Gegenbauer-Sobolev inner product ⋮ Asymptotics of Sobolev orthogonal polynomials for Hermite coherent pairs ⋮ A class of Sobolev orthogonal polynomials on the unit circle and associated continuous dual Hahn polynomials: bounds, asymptotics and zeros ⋮ A Cohen type inequality for Fourier expansions of orthogonal polynomials with a non-discrete Gegenbauer-Sobolev inner product ⋮ Analytic properties of nondiagonal Jacobi-Sobolev orthogonal polynomials

Cites Work

• Unnamed Item
• On polynomials orthogonal with respect to certain Sobolev inner products
• Coherent pairs and zeros of Sobolev-type orthogonal polynomials
• Relative asymptotics for orthogonal polynomials with a Sobolev inner product
• Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product
• Estimates for jacobi—sobolev type orthogonal polynomials