On orders of approximation of plane curves by parametric cubic splines
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The aim of the present paper is to show that the convergence rate of the parametric cubic spline approximation of a plane curve is of order four instead of order three. For the first and second derivatives, the rates are of order three and two, respectively. Finally some numerical examples are given to illustrate the predicted error behaviour.
AMS Subject ClassificationPrimary 41A15 Secondary 41A25, 65D05
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