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Ukrainian Mathematical Journal

, Volume 55, Issue 7, pp 1099–1109 | Cite as

Multiple Fourier Sums on Sets of \(\bar \psi\)-Differentiable Functions (Low Smoothness)

  • R. A. Lasuriya
Article

Abstract

We investigate the behavior of deviations of rectangular partial Fourier sums on sets of \(\bar \psi\)-differentiable functions of many variables.

Keywords

Differentiable Function 
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REFERENCES

  1. 1.
    A. I. Stepanets, “Approximation of \(\bar \psi\)-integrals of periodic functions by Fourier sums (low smoothness). I, II,” Ukr. Mat. Zh., 50, No. 2, 274–291 (1998), No. 3, 388–400 (1998).Google Scholar
  2. 2.
    A. I. Stepanets and N. L. Pachulia, “Multiple Fourier sums on sets of (ψ,β)-differentiable functions,” in: Multiple Fourier Sums on Sets of (ψ,β)-Differentiable Functions [in Russian], Preprint No. 55, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1990), pp. 1–16.Google Scholar
  3. 3.
    A. I. Stepanets and N. L. Pachulia, “Multiple Fourier sums on sets of (ψ,β)-differentiable functions,” Ukr. Mat. Zh., 43, No. 4, 545–555 (1991).Google Scholar

Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • R. A. Lasuriya

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