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Asymptotic expansion of the multivariate Bernstein polynomials on a simplex

✍ Scribed by Abel Ulrich; Ivan Mircea


Publisher
Springer
Year
2000
Tongue
English
Weight
306 KB
Volume
16
Category
Article
ISSN
1573-8175

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A note on constrained degree reduction o
✍ Lizheng Lu πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 273 KB

Kim and Ahn proved that the best constrained degree reduction of a polynomial over d-dimensional simplex domain in L 2 -norm equals the best approximation of weighted Euclidean norm of the Bernstein-BΓ©zier coefficients of the given polynomial. In this paper, we presented a counterexample to show tha