WASET
	%0 Journal Article
	%A Hadi Taghvafard
	%D 2011
	%J International Journal of Mathematical and Computational Sciences
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 55, 2011
	%T A New Quadrature Rule Derived from Spline Interpolation with Error Analysis
	%U https://publications.waset.org/pdf/8083
	%V 55
	%X We present a new quadrature rule based on the spline
interpolation along with the error analysis. Moreover, some error
estimates for the reminder when the integrand is either a Lipschitzian
function, a function of bounded variation or a function whose
derivative belongs to Lp are given. We also give some examples
to show that, practically, the spline rule is better than the trapezoidal
rule.
	%P 1004 - 1009