Numerical integration formulas based on iterated cubic splines
This paper concerns the Euler-MacLaurin integration formula. The derivatives \(f^{(m)}\) are approximated by the \(m\)th iterated cubic spline. Asymptotic error estimates for the iterated cubic spline and for the integration formula are deduced. Numerical examples illustrate the prescribed method.
scientific article; zbMATH DE number 637431