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http://bura.brunel.ac.uk/handle/2438/2028
Title: | Superconvergence properties of quintic interpolatroy splines |
Authors: | Behforooz, GH Papamichael, N |
Issue Date: | 1980 |
Publisher: | Brunel University |
Citation: | Maths Technical Papers (Brunel University). Mar 1980, pp 1-17 |
Abstract: | Let Q be a quintic spline with equi-spaced knots on [a,b] interpolating a given function y at the knots. The parameters which determine Q are used to construct a piecewise defined polynomial P of degree six. It is shown that P can be used to give at any point of [a,b] better orders of approximation to y and its derivatives than those obtained from Q. It is also shown that the superconvergence properties of the derivatives of Q, at specific points of [a,b], are all simple consequences of the properties of P. |
URI: | http://bura.brunel.ac.uk/handle/2438/2028 |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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