Ratio and relative asymptotics of polynomials orthogonal with respect to varying Denisov-type measures

  • Authors:

  • D. Barrios Rolanía;B. de la Calle Ysern;G. López Lagomasino

  • Affiliations:

  • Facultad de Informática, Universidad Politécnica de Madrid, Campus de Montegancedo, 28660 Boadilla del Monte, Madrid, Spain;ETS de Ingenieros Industriales, Universidad Politécnica de Madrid, C. José G. Abascal 2, 28006 Madrid, Spain;Dpto. de Matemáticas, Universidad Carlos III de Madrid, Avda. Universidad 15, 28911 Leganés, Madrid, Spain

  • Venue:
  • Journal of Approximation Theory
  • Year:
  • 2006

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Abstract

Let @m be a finite positive Borel measure with compact support consisting of an interval [c,d]@?R plus a set of isolated points in R@?[c,d], such that @m^'0 almost everywhere on [c,d]. Let {w"2"n},n@?Z"+, be a sequence of polynomials, degw"2"n=