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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

Trudy Inst. Mat. i Mekh. UrO RAN, 2008 Volume 14, Number 3, Pages 162–169 (Mi timm50)

This article is cited in 11 papers

On the rate of approximation of functions by the Bernstein polynomials

S. A. Telyakovskii

Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: The estimates are refined for the deviations of the Bernstein polynomials from functions at a fixed point and for the remainders in the asymptotic formulas for these deviations for differentiable functions.

Received: 13.02.2008


 English version:
Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2009, 264, suppl. 1, S177–S184

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