Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4646050 | Applied Numerical Mathematics | 2008 | 10 Pages |
Abstract
We are concerned with the construction of bivariate box-spline discrete quasi-interpolants with small infinity norms and optimal approximation orders. They are defined by minimizing a sharp upper bound of the uniform norm which is derived from the Bernstein–Bézier representation of the corresponding fundamental function. We detail the construction of such quadratic and quartic quasi-interpolants.
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