On the strong asymptotics for Sobolev orthogonal polynomials on the circle

DOI10.1007/S00365-002-0517-YzbMath1015.42017OpenAlexW155671968MaRDI QIDQ1871833

Elías Berriochoa, Alicia Cachafeiro

Publication date: 4 May 2003

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-002-0517-y

zbMATH Keywords

orthogonal polynomialsSobolev inner productsSzegős's asymptotic theorem

Mathematics Subject Classification ID

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

Related Items (4)

A necessary condition for the extension of Szegö's asymptotics inside the disk in the Sobolev case ⋮ Extension inside the disk of asymptotics 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

This page was built for publication: On the strong asymptotics for Sobolev orthogonal polynomials on the circle