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
Voir la notice du chapitre de livre
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.
@article{TM_2008_260_a18,
author = {S. A. Telyakovskii},
title = {On the {Approximation} of {Differentiable} {Functions} by {Bernstein} {Polynomials} and {Kantorovich} {Polynomials}},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {289--296},
year = {2008},
volume = {260},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TM_2008_260_a18/}
}
TY - JOUR AU - S. A. Telyakovskii TI - On the Approximation of Differentiable Functions by Bernstein Polynomials and Kantorovich Polynomials JO - Trudy Matematicheskogo Instituta imeni V.A. Steklova PY - 2008 SP - 289 EP - 296 VL - 260 UR - http://geodesic.mathdoc.fr/item/TM_2008_260_a18/ LA - ru ID - TM_2008_260_a18 ER -
%0 Journal Article %A S. A. Telyakovskii %T On the Approximation of Differentiable Functions by Bernstein Polynomials and Kantorovich Polynomials %J Trudy Matematicheskogo Instituta imeni V.A. Steklova %D 2008 %P 289-296 %V 260 %U http://geodesic.mathdoc.fr/item/TM_2008_260_a18/ %G ru %F TM_2008_260_a18
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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