Email this article Approximation of classes of poisson integrals by repeated Fejer sums
- Authors: Novikov O.1,2, Rovenska O.1,2
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Affiliations:
- Donbass State Pedagogical University
- Donbass State Mashinebuilding Academy
- Issue: Vol 38, No 3 (2017)
- Pages: 502-509
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199321
- DOI: https://doi.org/10.1134/S1995080217030209
- ID: 199321
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Abstract
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.
About the authors
O. Novikov
Donbass State Pedagogical University; Donbass State Mashinebuilding Academy
Author for correspondence.
Email: sgpi.slav@dn.ua
Ukraine, Slovyansk; Kramatorsk
O. Rovenska
Donbass State Pedagogical University; Donbass State Mashinebuilding Academy
Email: sgpi.slav@dn.ua
Ukraine, Slovyansk; Kramatorsk
