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|Title:||Superconvergence properties of quintic interpolatroy splines|
|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.|
|Appears in Collections:||Dept of Mathematics Research Papers|
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