Free multivariate splines |
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| Authors: | Ronald A DeVore Vasil A Popov |
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| Institution: | 1. Department of Math. and Statistics, University of South Carolina, 29208, Columbia, South Carolina, USA
2. Mathematical Institute, Bulgarian Academy of Science, 1090, Sofia, Bulgaria
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| Abstract: | We introduce a definition of free multivariate splines which generalizes the univariate notion of splines with free knots. We then concentrate on the simplest case, piecewise constant functions and characterize some classes of functions which have a prescribed order of approximation inL p by these splines. These characterizations involve the classical Besov spaces. |
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