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dc.contributor.authorAlfaro, Manuel
dc.contributor.authorMoreno-Balcázar, Juan José
dc.contributor.authorPeña, Ana
dc.contributor.authorRezola, M. Luisa
dc.date.accessioned2017-06-27T09:49:02Z
dc.date.available2017-06-27T09:49:02Z
dc.date.issued2009
dc.identifier.citationFirst published in Transactions of the American Mathematical Society in 361, 547-560, 2009, published by the American Mathematical Societyes_ES
dc.identifier.urihttp://hdl.handle.net/10835/4881
dc.description.abstractLet 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 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.es_ES
dc.language.isoenes_ES
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectOrthogonal polynomialses_ES
dc.titleSobolev orthogonal polynomials: balance and asymptoticses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses_ES


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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 Internacional