Cardinal B-Spline Coefficients Moments Rectangular Rule Interpolating Quadratic Spline Hat Function Cubic B-Spline
Issue Date:
2010
Publisher:
Bulgarian Academy of Sciences - National Committee for Mathematics
Citation:
Mathematica Balkanica New Series, Vol. 24, Fasc 3-4 (2010), 351p-358p
Abstract:
We gave a short review of several results which are related to the role of splines
(cardinal, centered or interpolating) in numerical integration. Results deal with the problem
of approximate computation of the integrals with spline as a weight function, but also with
the problem of approximate computation of the integrals without weight function. Besides, we
presented an algorithm for calculation of the coefficients of the polynomials which correspond
to the cardinal B-spline of arbitrary order and described five methods for calculation of the
moments in the case when cardinal B-spline of order m,m ∈ N, is a weight function.
