dc.contributor.author Alfaro, Manuel dc.contributor.author Moreno-Balcázar, Juan José dc.contributor.author Peña, Ana dc.contributor.author Rezola, M. Luisa dc.date.accessioned 2017-06-27T09:49:02Z dc.date.available 2017-06-27T09:49:02Z dc.date.issued 2009 dc.identifier.citation First published in Transactions of the American Mathematical Society in 361, 547-560, 2009, published by the American Mathematical Society es_ES dc.identifier.uri http://hdl.handle.net/10835/4881 dc.description.abstract Let μ0 and μ1 be measures supported on an unbounded interval and Sn,λn the extremal varying Sobolev polynomial which minimizes es_ES $$_\lambda_n=\int P^2 d\mu_0+\lambda_n \int P'^2 d\mu_1, \lambda_n>0$$ in the class of all monic polynomials of degree n. The goal of this paper is twofold. On one hand, we discuss how to balance both terms of this inner product, that is, how to choose a sequence (λn) such that both measures μ0 and μ1 play a role in the asymptotics of (Sn,λn). On the other, we apply such ideas to the case when both μ0 and μ1 are Freud weights. Asymptotics for the corresponding Sn,λn are computed, illustrating the accuracy of the choice of λn. dc.language.iso en es_ES dc.rights Attribution-NonCommercial-NoDerivatives 4.0 Internacional * dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/4.0/ * dc.subject Orthogonal polynomials es_ES dc.title Sobolev orthogonal polynomials: balance and asymptotics es_ES dc.type info:eu-repo/semantics/article es_ES dc.rights.accessRights info:eu-repo/semantics/openAccess es_ES
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