Extension inside the disk of asymptotics for Sobolev orthogonal polynomials

DOI10.1016/S0898-1221(03)90217-3zbMath1044.42023OpenAlexW2076613733MaRDI QIDQ597256

Elías Berriochoa, Alicia Cachafeiro

Publication date: 6 August 2004

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

Full work available at URL: https://doi.org/10.1016/s0898-1221(03)90217-3

zbMATH Keywords

orthogonal polynomialsSobolev inner productSzegő's theory

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) Polynomials and rational functions of one complex variable (30C10)

Related Items (1)

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

Cites Work

• Strong asymptotics inside the unit disk for Sobolev orthogonal polynomials.
• On the strong asymptotics for Sobolev orthogonal polynomials on the circle
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