Asymptotic properties of Chebyshev-Sobolev orthogonal polynomials

DOI10.1016/J.CAM.2004.03.026zbMath1060.42016OpenAlexW2094465265MaRDI QIDQ1772330

Xianqiang Yang

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.2004.03.026

zbMATH Keywords

orthogonal polynomialsSzegő functionCarathéodory functionSobolev inner productsmeasures on the real line

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Other special orthogonal polynomials and functions (33C47)

Related Items (2)

Connections between interval and unit circle for Sobolev orthogonal polynomials. Strong asymptotics on the real line ⋮ Asymptotics on the support for Sobolev orthogonal polynomials on a bounded interval

Cites Work

• Unnamed Item
• Asymptotic behavior inside the disk for Lebesgue Sobolev orthogonal polynomials
• On the strong asymptotics for Sobolev orthogonal polynomials on the circle
• Bernstein-Szegő's theorem for Sobolev orthogonal polynomials

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