Birkhoff quadrature formulae based on the zeros of Jacobi polynomials

  • Authors:

  • M. Lénaárd

  • Affiliations:

  • Department of Mathematics and Computer Science Kuwait University P.O. Box 5969, 13060 Safat, Kuwait

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 2003

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Abstract

The main object of this paper is to construct a Birkhoff quadrature formula of the form @!^1"-"1f(x)dx~@?i-1nA"i"f"^"'(xi)+@?j=0kCj(f^j(1)+(-1)^jf^(^j^)(-1), which is exact for the polynomials of degree =