The Lower Estimate of Deviations of Fejer Sums on Classes of Poisson Integrals-Reference-Cited by-同舟云学术

The Lower Estimate of Deviations of Fejer Sums on Classes of Poisson Integrals

Published:2021-12 Issue:12 Volume:42 Page:2936-2941
ISSN:1995-0802
Container-title:Lobachevskii Journal of Mathematics
language:en
Short-container-title:Lobachevskii J Math

Author:

Rovenska O.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1134/S1995080221120283.pdf

Reference12 articles.

1. A. I. Stepanec, Classification and Approximation of Periodic Functions (Naukova Dumka, Kiev, 1987) [in Russian].

2. S. M. Nikolskiy, ‘‘Approximation of the functions by trigonometric polynomials in the mean,’’ Izv. Akad. Nauk SSSR, Ser. Mat. 10, 207–256 (1946).

3. S. B. Stechkin, ‘‘Estimation of the remainder of Fourier series for the differentiable functions,’’ Tr. Mat. Inst. Akad. Nauk SSSR 145, 126–151 (1980).

4. A. S. Serdyuk, ‘‘Approximation of Poisson integrals by de la Vallee Poussin sums,’’ Ukr. Math. J. 56, 122–134 (2004).

5. V. I. Rukasov and S. O. Chaichenko, ‘‘Approximation of the classes of analytical functions by de la Vallee-Poussin sums,’’ Ukr. Math. J. 54, 2006–2024 (2002).

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4. Approximation of classes of Poisson integrals by Fejer means;V. N. Karazin Kharkiv National University. Ser. Mathematics, Applied Mathematics and Mechanics;2023-05-16