Geodesic
On the Approximation of Differentiable Functions by Bernstein Polynomials and Kantorovich Polynomials
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function theory and nonlinear partial differential equations, Tome 260 (2008), pp. 289-296 
S. A. Telyakovskii. On the Approximation of Differentiable Functions by Bernstein Polynomials and Kantorovich Polynomials. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function theory and nonlinear partial differential equations, Tome 260 (2008), pp. 289-296. http://geodesic.mathdoc.fr/item/TM_2008_260_a18/
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     author = {S. A. Telyakovskii},
     title = {On the {Approximation} of {Differentiable} {Functions} by {Bernstein} {Polynomials} and {Kantorovich} {Polynomials}},
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

E. V. Voronovskaya and S. N. Bernstein established an asymptotic representation for the deviation of functions from Bernstein polynomials under the condition that the function has an even-order derivative. In the present paper, a similar problem is solved in the case when the function has an odd-order derivative. In addition, analogous representations are obtained for the deviations of functions from Kantorovich polynomials.

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