Geodesic
A Note on the Torsion of Bernstein Curves
Canadian mathematical bulletin, Tome 27 (1984) no. 3, pp. 257-259

Voir la notice de l'article provenant de la source Cambridge University Press

It is shown that Bernstein Polynomials do not diminish the total “twist” of space curves in contrast to their length and curvature diminishing properties. This phenomenon is shown to be related to the fact that Bernstein Polynomials of a plane curve may have more inflections than the curve possesses.
DOI : 10.4153/CMB-1984-038-5
Mots-clés : 41A10 
Price, Martin E. A Note on the Torsion of Bernstein Curves. Canadian mathematical bulletin, Tome 27 (1984) no. 3, pp. 257-259. doi: 10.4153/CMB-1984-038-5
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[1] 1. Fary, I., Sur certaines inégalités géométriques, Acta Szeged (1950), pp. 117–124. Google Scholar

[2] 2. Lorentz, G., Bernstein polynomials, University of Toronto Press (1953). Google Scholar

[3] 3. Price, M., The Bend of Bernstein polynomials, Aequationes Mathematicae (1974), pp. 138–141. Google Scholar

[4] 4. Schoenberg, I. J., Variation diminishing approximation methods (from “On Numerical Approximation”), University of Wisconsin (1959), pp. 249–274. Google Scholar

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