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...
Main Authors: | , , , |
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Format: | info:eu-repo/semantics/article |
Language: | English |
Published: |
2017
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Subjects: | |
Online Access: | http://hdl.handle.net/10835/4881 |