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On the rate of approximation of functions by the Bernstein polynomials

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Publication:2347530
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DOI10.1134/S0081543809050150zbMath1312.41013OpenAlexW2018167227MaRDI QIDQ2347530

Sergey A. Telyakovskii

Publication date: 27 May 2015

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543809050150


zbMATH Keywords

Bernstein polynomialsasymptotic estimatesapproximation rate


Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)


Related Items (7)

Complete asymptotic expansions related to conjecture on a Voronovskaja-type theorem ⋮ On the Asymptotic Behavior of Sequences of Positive Linear Approximation Operators ⋮ An answer to a conjecture on Bernstein operators ⋮ On partial derivatives of multivariate Bernstein polynomials ⋮ Estimates for the moments of Bernstein polynomials ⋮ On the rate of convergence of discretely defined operators ⋮ Approximation by modified Kantorovich-Stancu operators



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