Error Bounds for Gaussian Quadrature and Weighted-$L^1$ Polynomial Approximation Academic Article uri icon

abstract

  • Error bounds for Gaussian quadrature are given in terms of the number of quadrature points and smoothness properties of the function whose integral is being approximated. An intermediate step involves a weighted-L**1 polynomial approximation problem which is treated in a more general context than that specifically required to bound the Gaussian quadrature error.

author list (cited authors)

  • DeVore, R. A., & Scott, L. R.

citation count

  • 35

publication date

  • April 1984