Analysis in Theory and Applications

, Volume 23, Issue 3, pp 228–242

Asymptotic behavior of Eckhoff’s method for Fourier series convergence acceleration

Article

DOI: 10.1007/s10496-007-0228-0

Cite this article as:
Barkhudaryan, A., Barkhudaryan, R. & Poghosyan, A. Analys in Theo Applic (2007) 23: 228. doi:10.1007/s10496-007-0228-0
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Abstract

The current paper considers the problem of recovering a function using a limited number of its Fourier coefficients. Specifically, a method based on Bernoulli-like polynomials suggested and developed by Krylov, Lanczos, Gottlieb and Eckhoff is examined. Asymptotic behavior of approximate calculation of the so-called “jumps” is studied and asymptotic L2 constants of the rate of convergence of the method are computed.

Key words

Fourier series convergence acceleration Bernoulli polynomials 

AMS (2000) subject classification

42A10 65T40 65B10 

Copyright information

© Editorial Board of Analysis in Theory and Applications 2007

Authors and Affiliations

  • A. Barkhudaryan
    • 1
  • R. Barkhudaryan
    • 1
  • A. Poghosyan
    • 1
  1. 1.National Academy of Sciences of ArmeniaInstitute of MathematicsYerevanRussia

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