Approximation of periodic analytic functions by Fejer sums

Journal Title: Математичні Студії - Year 2017, Vol 47, Issue 2

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.

Authors and Affiliations

O. O. Novikov, Olga Rovenska

Keywords

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  • EP ID EP310115
  • DOI 10.15330/ms.47.2.196-201
  • Views 97
  • Downloads 0

How To Cite

O. O. Novikov, Olga Rovenska (2017). Approximation of periodic analytic functions by Fejer sums. Математичні Студії, 47(2), 196-201. https://europub.co.uk/articles/-A-310115