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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Communicated by Klaus Höllig.
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DeVore, R.A., Popov, V.A. Free multivariate splines. Constr. Approx 3, 239–248 (1987). https://doi.org/10.1007/BF01890567
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DOI: https://doi.org/10.1007/BF01890567