Approximation of classes of poisson integrals by repeated Fejer sums
- Авторы: Novikov O.1,2, Rovenska O.1,2
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Учреждения:
- Donbass State Pedagogical University
- Donbass State Mashinebuilding Academy
- Выпуск: Том 38, № 3 (2017)
- Страницы: 502-509
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199321
- DOI: https://doi.org/10.1134/S1995080217030209
- ID: 199321
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Аннотация
For upper bounds of the deviations of repeated Fejer sums taken over classes of periodic functions that admit analytic extensions to a fixed strip of the complex plane, we obtain asymptotic equalities. In certain cases, these equalities give a solution of the corresponding Kolmogorov–Nikolsky problem.
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Об авторах
O. Novikov
Donbass State Pedagogical University; Donbass State Mashinebuilding Academy
Автор, ответственный за переписку.
Email: sgpi.slav@dn.ua
Украина, Slovyansk; Kramatorsk
O. Rovenska
Donbass State Pedagogical University; Donbass State Mashinebuilding Academy
Email: sgpi.slav@dn.ua
Украина, Slovyansk; Kramatorsk