Abstract
For upper bounds of the deviations of 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.
Publisher
V. N. Karazin Kharkiv National University
Cited by
3 articles.
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1. Asymptotic estimates for deviations of Fejér means on Poisson integrals;Proceedings of the Institute of Applied Mathematics and Mechanics NAS of Ukraine;2024-01-23
2. Approximation of classes of Poisson integrals by Fejer means;V. N. Karazin Kharkiv National University. Ser. Mathematics, Applied Mathematics and Mechanics;2023-05-16
3. APPROXIMATION OF CLASSES OF POISSON INTEGRALS BY REPEATED FEJER SUMS;Bukovinian Mathematical Journal;2020