Sobolev orthogonal polynomials: Balance and asymptotics

DOI10.1090/S0002-9947-08-04536-4zbMath1158.33005arXivmath/0606589OpenAlexW1964459793MaRDI QIDQ3600648

M. Luisa Rezola, Ana Peña, Manuel Alfaro, Juan José Moreno Balcázar

Publication date: 5 February 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606589

zbMATH Keywords

asymptoticspotential theoryMhaskar-Rakhmanov-Saff numbersFreud weightsvarying Sobolev inner products

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (6)

Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports ⋮ Some asymptotics for Sobolev orthogonal polynomials involving Gegenbauer weights ⋮ Asymptotics for Jacobi-Sobolev orthogonal polynomials associated with non-coherent pairs of measures ⋮ Asymptotics of the \(L^2\) norm of derivatives of OPUC ⋮ Asymptotic behavior of varying discrete Jacobi-Sobolev orthogonal polynomials ⋮ Ladder operators and a differential equation for varying generalized Freud-type orthogonal polynomials

Cites Work

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• Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports
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• On asymptotic properties of Freud--Sobolev orthogonal polynomials.
• Smallest zeros of some types of orthogonal polynomials: asymptotics
• Asymptotic properties of balanced extremal Sobolev polynomials: Coherent case
• Bernstein-Szegő's theorem for Sobolev orthogonal polynomials
• Orthogonal polynomials for exponential weights
• Asymptotics of Sobolev orthogonal polynomials for Hermite coherent pairs

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