Geodesic
On partial derivatives of multivariate Bernstein polynomials
Matematičeskie trudy, Tome 18 (2015) no. 2, pp. 22-38

Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown that Bernstein polynomials for a multivariate function converge to this function along with partial derivatives provided that the latter derivatives exist and are continuous. This result may be useful in some issues of stochastic calculus. 
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     author = {A. Yu. Veretennikov and E. V. Veretennikova},
     title = {On partial derivatives of multivariate {Bernstein} polynomials},
     journal = {Matemati\v{c}eskie trudy},
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     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2015_18_2_a1/}
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A. Yu. Veretennikov; E. V. Veretennikova. On partial derivatives of multivariate Bernstein polynomials. Matematičeskie trudy, Tome 18 (2015) no. 2, pp. 22-38. http://geodesic.mathdoc.fr/item/MT_2015_18_2_a1/