Sobolev orthogonal polynomials: balance and asymptotics

Sobolev orthogonal polynomials: balance and asymptotics

Let μ0 and μ1 be measures supported on an unbounded interval and Sn,λn the extremal varying Sobolev polynomial which minimizes $$<P,P>_\lambda_n=\int P^2 d\mu_0+\lambda_n \int P'^2 d\mu_1, \lambda_n>0$$ in the class of all monic polynomials of degree n. The goal of this paper is twof...

Полное описание

Библиографические подробности
Главные авторы:	Alfaro, Manuel, Moreno-Balcázar, Juan José, Peña, Ana, Rezola, M. Luisa
Формат:	info:eu-repo/semantics/article
Язык:	English
Опубликовано:	2017
Предметы:	Orthogonal polynomials
Online-ссылка:	http://hdl.handle.net/10835/4881

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