Asymptotics for extremal polynomials with varying measures.
In this paper, we give strong asymptotics of extremal polynomials with respect to varying measures of the form dσ n = dσ/|Y n| p, where σ is a positive measure on a closed analytic Jordan curve C, and {Y n} is a sequence of polynomials such that for each n, Y n has exactly degree n and all its zeros...
| Autores: | , |
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| Tipo de documento: | artigo |
| Estado: | Versión aceptada para publicación |
| Data de publicação: | 2005 |
| País: | España |
| Recursos: | Universidad de La Rioja (UR) |
| Repositório: | RIUR. Repositorio Institucional de la Universidad de La Rioja |
| OAI Identifier: | oai:portal.dialnet.es:doc/5bbc6a1bb750603269e8272c |
| Acesso em linha: | https://investigacion.unirioja.es/documentos/5bbc6a1bb750603269e8272c |
| Access Level: | Acceso aberto |
| Palavra-chave: | Orthogonal Polynomials Rational Approximation Varying Measures |
| Resumo: | In this paper, we give strong asymptotics of extremal polynomials with respect to varying measures of the form dσ n = dσ/|Y n| p, where σ is a positive measure on a closed analytic Jordan curve C, and {Y n} is a sequence of polynomials such that for each n, Y n has exactly degree n and all its zeros (α n, i), i = 1, 2, ..., lie in the exterior of C. Copyright © 2005, Kent State University. |
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