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$\varphi$-Strong Approximation of Functions by Trigonometric Polynomials
R. A. Lasuriya Abkhazian State University
Abstract:
The rate of $\varphi$-strong approximation of periodic functions by trigonometric polynomials constructed on the basis of interpolating polynomials with equidistant nodes is considered.
Keywords:
Fourier–Lagrange series, group of deviations, best approximation, Dirichlet kernel.
Received: 02.11.2016
Citation:
R. A. Lasuriya, “$\varphi$-Strong Approximation of Functions by Trigonometric Polynomials”, Mat. Zametki, 102:1 (2017), 52–63; Math. Notes, 102:1 (2017), 43–52
Linking options:
https://www.mathnet.ru/eng/mzm9694https://doi.org/10.4213/mzm9694 https://www.mathnet.ru/eng/mzm/v102/i1/p52
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Abstract page: | 368 | Full-text PDF : | 55 | References: | 65 | First page: | 25 |
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