Ratio and Relative Asymptotics of Polynomials Orthogonal on an Arc of the Unit Circle

  1. Bello Hernández, M. 1
  2. López Lagomasino, G. 1
  1. 1 Universidad de La Habana
    info

    Universidad de La Habana

    La Habana, Cuba

    ROR https://ror.org/04204gr61

Revista:
Journal of Approximation Theory

ISSN: 0021-9045

Año de publicación: 1998

Volumen: 92

Número: 2

Páginas: 216-244

Tipo: Artículo

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DOI: 10.1006/JATH.1997.3126 SCOPUS: 2-s2.0-0001271792 GOOGLE SCHOLAR

Otras publicaciones en: Journal of Approximation Theory

Repositorio institucional: lock_openAcceso abierto Editor

Resumen

Ratio and relative asymptotics are given for sequences of polynomials orthogonal with respect to measures supported on an arc of the unit circle, where their absolutely continuous component is positive almost everywhere. The results obtained extend to this setting known ones given by Rakhmanov and Máté, Nevai, and Totik for the case when the arc is the whole unit circle. Technically speaking, the main feature is the use of orthogonality with respect to varying measures. © 1998 Academic Press.