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Title: | Improved orders of approximation derived from interpolatory cubic splines |
Authors: | Behforooz, GH Papamichael, N |
Issue Date: | 1978 |
Publisher: | Brunel University |
Citation: | Maths Technical Papers (Brunel University). Jun 1978, pp 1-13 |
Abstract: | Let s be a cubic spline, with equally spaced knots on [a,b], interpolating a given function y at the knots. The parameters which determine s are used to construct a piecewise defined polynomial P of degree four. It is shown that P can be used to give better orders of approximation to y and its derivatives than those obtained from s. It is also shown that the known superconvergence properties of the derivatives of s, at specific points [a,b], are all special cases of the main result contained in the present paper. |
URI: | http://bura.brunel.ac.uk/handle/2438/2016 |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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