Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4646085 | Applied Numerical Mathematics | 2009 | 21 Pages |
Abstract
In this paper we introduce the Powell–Sabin B-spline representation of quadratic polynomials or splines in terms of their polar forms. We use this B-representation for constructing several differential or discrete quasi-interpolants which have an optimal approximation order. This new approach is simple and provides an efficient tool for describing many schemes of approximation involving values and (or) derivatives of a given function.
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