%0 Journal Article
	%A Khalid Minaoui and  Thierry Chonavel and  Benayad Nsiri and  Driss Aboutajdine
	%D 2010
	%J International Journal of Mathematical and Computational Sciences
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 37, 2010
	%T Quadrature Formula for Sampled Functions
	%U https://publications.waset.org/pdf/27
	%V 37
	%X This paper deals with efficient quadrature formulas involving functions that are observed only at fixed sampling points. The approach that we develop is derived from efficient continuous quadrature formulas, such as Gauss-Legendre or Clenshaw-Curtis quadrature. We select nodes at sampling positions that are as close as possible to those of the associated classical quadrature and we update quadrature weights accordingly. We supply the theoretical quadrature error formula for this new approach. We show on examples the potential gain of this approach.

	%P 153 - 159