Asymptotics on the support for Sobolev orthogonal polynomials on a bounded interval

DOI10.1016/j.camwa.2005.04.007zbMath1080.42023OpenAlexW1990317042MaRDI QIDQ814307

Elías Berriochoa, Alicia Cachafeiro, José M. García-Amor

Publication date: 6 February 2006

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2005.04.007

zbMATH Keywords

orthogonal polynomialsLaurent polynomialsCarathéodory functionmeasures on the unit circleSobolev inner productsmeasures on the real lineSzegö function

Mathematics Subject Classification ID

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

Cites Work

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• Zeros of Sobolev orthogonal polynomials following from coherent pairs
• Strong asymptotics inside the unit disk for Sobolev orthogonal polynomials.
• Asymptotic properties of Chebyshev-Sobolev orthogonal polynomials
• Connections between interval and unit circle for Sobolev orthogonal polynomials. Strong asymptotics on the real line
• A necessary condition for the extension of Szegö's asymptotics inside the disk in the Sobolev case
• Eigenvalue estimates for non-normal matrices and the zeros of random orthogonal polynomials on the unit circle
• Analytic aspects of Sobolev orthogonal polynomials revisited

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