Israel Journal of Mathematics

, Volume 16, Issue 3, pp 287–299 | Cite as

Numerical integration rules near gaussian quadrature

  • C. A. Micchelli
  • T. J. Rivlin


We call a numerical integration formula based onk nodes which is exact for polynomials of degree at mostn an (n, k) formula. Gaussian quadrature is the unique (2k−1,k) formula. In this paper we give a complete description of all (2k−3,k) formulas, including a characterization of those having all positive weights.


Orthogonal Polynomial Quadrature Formula Gaussian Quadrature Cusp Point YORKTOWN Height 


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Copyright information

© Hebrew University 1973

Authors and Affiliations

  • C. A. Micchelli
    • 1
  • T. J. Rivlin
    • 1
  1. 1.IBM Research CenterYorktown HeightsU.S.A.

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