Approximation by Smooth Multivariate Splines


he degree of approximation achievable by piecewise polynomial functions of given total order on certain regular grids in the plane is shown to be adversely affected by smoothness requirements-in stark contrast to the univariate situation. For a rectangular grid, and for the triangular grid derived from it by adding all northeast diagonals, the maximum… (More)



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@inproceedings{Boor1983ApproximationBS, title={Approximation by Smooth Multivariate Splines}, author={Author C. de Boor and Ronald Devore}, year={1983} }