Abstract
We present a construction method for quasiinterpolants using the multivariate splines of Dahmen, Micchelli, and Seidel [7]. The key instrument is the concept of polar forms. The quasiinterpolants apply to continuous functions and are shown to have optimal rates of convergence.
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Wenz, HJ. On local approximation methods for multivariate polynomial spline surfaces. Results. Math. 31, 170–179 (1997). https://doi.org/10.1007/BF03322159
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DOI: https://doi.org/10.1007/BF03322159