9 research outputs found
On partial derivatives of multivariate Bernstein polynomials
Get PDFIt 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
Sur le développement des fonctions définies dans un intervalle infini en séries de polynomes de M. S. Bernstein
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Approximation by Bernstein Polynomials at the Points of Discontinuity of the Derivatives
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