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Ukrainian Mathematical Journal

, Volume 54, Issue 12, pp 2006–2024 | Cite as

Approximation of Analytic Periodic Functions by de la Vallée-Poussin Sums

  • V. I. Rukasov
  • S. O. Chaichenko
Article

Abstract

We investigate the approximation properties of the de la Vallée-Poussin sums on the classes \(C_{\beta }^q H_{\omega }\). We obtain asymptotic equalities that, in certain cases, guarantee the solvability of the Kolmogorov–Nikol'skii problem for the de la Vallée-Poussin sums on the classes \(C_{\beta }^q H_{\omega }\).

Keywords

Periodic Function Approximation Property Asymptotic Equality Analytic Periodic Function Skii Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 2002

Authors and Affiliations

  • V. I. Rukasov
    • 1
  • S. O. Chaichenko
    • 1
  1. 1.Slavyansk Pedagogic InstituteSlavyansk

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