A new approach to the asymptotics of Sobolev type orthogonal polynomials

نویسندگان

  • Manuel Alfaro
  • Juan J. Moreno-Balcázar
  • Ana Peña
  • M. Luisa Rezola
چکیده

This paper deals with Mehler-Heine type asymptotic formulas for so called discrete Sobolev orthogonal polynomials whose continuous part is given by Laguerre and generalized Hermite measures. We use a new approach which allows to solve the problem when the discrete part contains an arbitrary (finite) number of mass points. 2000MSC: 42C05, 33C45.

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عنوان ژورنال:
  • Journal of Approximation Theory

دوره 163  شماره 

صفحات  -

تاریخ انتشار 2011