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Convexity and variation diminishing property of multidimensional Bernstein polynomials |
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| Authors: | M. Beśka |
| Affiliation: | (1) Technical University of Gdańsk, Poland |
| Abstract: | A necessary and sufficient condition for the convexity of the Bézier surface over the k-dimensional simplex is presented. We also consider a multidimensional version of the variation diminishing property of the Bernstein polynomials. |
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