Asymptotics for extremal polynomials with varying measures.

  1. Hernández, M.B. 1
  2. Ceniceros, J.M. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revista:
Electronic Transactions on Numerical Analysis

ISSN: 1068-9613

Ano de publicación: 2005

Volume: 19

Páxinas: 29-36

Tipo: Artigo

SCOPUS: 2-s2.0-22744434746 WoS: WOS:000231717700004 GOOGLE SCHOLAR lock_openAcceso aberto editor

Outras publicacións en: Electronic Transactions on Numerical Analysis

Repositorio institucional: lock_openAcceso aberto Editor lock_openAcceso aberto Postprint

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.