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Matematicheskie Trudy, 2021, Volume 24, Number 2, Pages 150–159
DOI: https://doi.org/10.33048/mattrudy.2021.24.209
(Mi mt655)
 

An exact constant on the estimation of the approximation error of classes of differentiable functions by the second-order Cesaro means

O. G. Rovenskaya

Donbass State Engineering Academy, Kramatorsk
References:
Abstract: In the article, we study a problem related to the approximation of continuous functions by linear methods. In the class of functions satisfying Lipschitz condition, we obtain the best constant for the approximation by Cesaro means of second order.
Key words: exact inequality, Cesaro means, Lipschitz class.
Received: 09.05.2020
Revised: 12.06.2020
Accepted: 31.03.2021
Document Type: Article
UDC: 517.5
Language: Russian
Citation: O. G. Rovenskaya, “An exact constant on the estimation of the approximation error of classes of differentiable functions by the second-order Cesaro means”, Mat. Tr., 24:2 (2021), 150–159
Citation in format AMSBIB
\Bibitem{Rov21}
\by O.~G.~Rovenskaya
\paper An exact constant on the estimation of the approximation error of classes of differentiable functions by the second-order Cesaro means
\jour Mat. Tr.
\yr 2021
\vol 24
\issue 2
\pages 150--159
\mathnet{http://mi.mathnet.ru/mt655}
\crossref{https://doi.org/10.33048/mattrudy.2021.24.209}
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    Математические труды Siberian Advances in Mathematics
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