Approximation of classes of Poisson integrals by Fejer sums
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.
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References
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Citations
APPROXIMATION OF CLASSES OF POISSON INTEGRALS BY REPEATED FEJER SUMS
Rovenska O. (2020) Bukovinian Mathematical Journal
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Copyright (c) 2018 O. O. Novikov, O. G. Rovenska, Yu. A. Kozachenko
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