Cubic and quintic spline-on-spline interpolation

摘要

This paper is concerned with the cubic spline-on-spline procedure considered by Dolezal and Tewarson [3]. We show that when the knots are equally spaced, with spacing h, then the order of accuracy of the spline-on-spline approximations can be better by one power of h than that predicted by the results of [3]. We also indicate how the cubic spline-on-spline process can be extended to quintic splines.