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The Lower Estimate of Deviations of Fejer Sums on Classes of Poisson Integrals

Authors
  • Rovenska, O.1
  • 1 Donbass State Engineering Academy, Kramatorsk, 84313, Ukraine , Kramatorsk (Ukraine)
Type
Published Article
Journal
Lobachevskii Journal of Mathematics
Publisher
Pleiades Publishing
Publication Date
Dec 13, 2021
Volume
42
Issue
12
Pages
2936–2941
Identifiers
DOI: 10.1134/S1995080221120283
Source
Springer Nature
Keywords
Disciplines
  • Article
License
Yellow

Abstract

AbstractWe obtain asymptotic lower estimate 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.

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