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Ukrainian Mathematical Journal

, Volume 52, Issue 7, pp 1141–1146 | Cite as

Approximation of Periodic Functions of High Smoothness by Interpolation Trigonometric Polynomials in the Metric of L1

  • A. S. Serdyuk
Article
  • 18 Downloads

Abstract

We establish an asymptotically exact estimate for the error of approximation of ℝ2-periodic functions of high smoothness by interpolation trigonometric polynomials in the metric of L1.

Keywords

Periodic Function Trigonometric Polynomial Exact Estimate Interpolation Trigonometric High Smoothness 
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 2000

Authors and Affiliations

  • A. S. Serdyuk
    • 1
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKiev

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