Approximation of classes of Poisson integrals by Fejer sums
DOI:
https://doi.org/10.26565/2221-5646-2018-87-01Keywords:
asymptotic equality; Poisson integrals; Fejer sumsAbstract
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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