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...

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Bibliographic Details
Main Authors: Alfaro, Manuel, Moreno-Balcázar, Juan José, Peña, Ana, Rezola, M. Luisa
Format: info:eu-repo/semantics/article
Language:English
Published: 2017
Subjects:
Online Access:http://hdl.handle.net/10835/4881