Krall-type orthogonal polynomials in several variables

نویسندگان

  • Lidia Fernández
  • Teresa E. Pérez
  • Miguel A. Piñar
  • Yuan Xu
چکیده

For a bilinear form obtained by adding a Dirac mass to a positive definite moment functional in several variables, explicit formulas of orthogonal polynomials are derived from the orthogonal polynomials associated with the moment functional. Explicit formula for the reproducing kernel is also derived and used to establish certain inequalities for classical orthogonal polynomials. MSC 2000 : 42C05; 33C50.

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عنوان ژورنال:
  • J. Computational Applied Mathematics

دوره 233  شماره 

صفحات  -

تاریخ انتشار 2010