Abstract
We give an algorithm which computes the approximation order of spaces of periodic piece-wise polynomial functions, given the degree, the smoothness and tesselation. The algorithm consists of two steps. The first gives an upper bound and the second a lower bound on the approximation order. In all known cases the two bounds coincide.
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van Damme, R. An algorithm for determining the approximation orders of multivariate periodic spline spaces. Numer Algor 5, 71–81 (1993). https://doi.org/10.1007/BF02109285
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DOI: https://doi.org/10.1007/BF02109285