WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
The author considers quadrature formulae q.f. for the numerical evaluation of the Fourier, cosine, sine, and Laplace transformations.. Three different approaches are used to construct our q.f. either integrate an appropriate spline interpolant to fx, require our q.f. to be exact for a particular sequence of so-called B-splines, or utilize a particular monospline. In any case, the generality and utility the author achieves is due to the form of the splines the author uses in particular to the components of these splines, the so-called B-splines.