Strong asymptotics inside the unit disk for Sobolev orthogonal polynomials.

DOI10.1016/S0898-1221(02)00145-1zbMath1229.33021OpenAlexW1996321420MaRDI QIDQ1609178

Alicia Cachafeiro, Elías Berriochoa

Publication date: 15 August 2002

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

Full work available at URL: https://doi.org/10.1016/s0898-1221(02)00145-1

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 ⋮ Sobolev orthogonal polynomials on the unit circle and coherent pairs of measures of the second kind ⋮ Asymptotics on the support for Sobolev orthogonal polynomials on a bounded interval

Cites Work

• Asymptotic behavior inside the disk for Lebesgue Sobolev orthogonal polynomials
• Strong asymptotics for the continuous Sobolev orthogonal polynomials on the unit circle
• Bernstein-Szegő's theorem for Sobolev orthogonal polynomials
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