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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
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
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
Linking options:
https://www.mathnet.ru/eng/mt655 https://www.mathnet.ru/eng/mt/v24/i2/p150
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Statistics & downloads: |
Abstract page: | 205 | Full-text PDF : | 44 | References: | 60 | First page: | 4 |
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