ABSTRACT

In the methods described in the last chapter, the order of the approximation polynomials was at least the same as the number of points. This is rather problematic when a large number of points is given, as the polynomials will have a large number of unnecessary undulations. In this chapter another class of approximations is introduced where the order of the approximation is kept to a small order, however large the number of points is. In order to overcome this conflict, a sequence of such polynomials is used and the technique is called spline approximation.