Skip to main content
Log in

Characterization of the saturation class C ψ0 L

  • Published:
Ukrainian Mathematical Journal Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature cited

  1. A. I. Stepanets, “Classes of periodic functions and the approximation of their elements by Fourier sums,” Preprint 83.10, Inst. Math., Akad. Nauk UkrSSR, Kiev (1983).

    Google Scholar 

  2. A. I. Stepanets, “Classes of periodic functions and the approximation of their elements by Fourier sums,” Dokl. Akad. Nauk SSSR,277, No. 5, 1074–1077 (1984).

    Google Scholar 

  3. P. L. Butzer and R. J. Nessel, Fourier Analysis and Approximation, Vol. 1, Acadtimic Press, New York (1971).

    Google Scholar 

  4. A. I. Stepanets, “The approximation by Fourier sums of functions with slowly decreasing Fourier coefficients. The approximation of periodic functions by Fourier sums,” Preprint 84.43, Inst. Math., Akad. Nauk UkrSSR, Kiev (1984).

    Google Scholar 

  5. A. I. Stepanets and A. K. Kushpel', “Best approximation and diameters of classes of periodic functions,” Preprint 84.15, Inst. Math., Akad. Nauk UkrSSR, Kiev (1984).

    Google Scholar 

  6. S. A. Telyakovskii, “On the norms of trigonometric polynomials and approximation of differential functions by the linear means of their Fourier series. I,” Trudy Mat. Inst. Akad. Nauk SSSR,62, 61–97 (1961).

    Google Scholar 

  7. D. N. Bushev, “The approximation of classes of continuous periodic functions by Zygmund means,” Preprint 84.56, Inst. Math., Akad. Nauk UkrSSR, Kiev (1984).

    Google Scholar 

  8. J. Favard, “Sur la saturation des procédés de sommation,” J. Math. Pures Appl.,36, No. 4, 359–372 (1957).

    Google Scholar 

  9. F. I. Kharshiladze, “Saturation classes for certain summation processes,” Dokl. Akad. Nauk SSSR,122, No. 3, 352–355 (1958).

    Google Scholar 

  10. G. Sunouchi, “Characterization of certain classes of functions,” Tohoku Math. J.,14, No. 1, 127–134 (1962).

    Google Scholar 

  11. S. B. Stechkin, “On the order of the best approximations of continuous functions,” Izv. Akad. Nauk SSSR, Ser. Mat.,15, No. 3, 219–242 (1951).

    Google Scholar 

  12. V. K. Dzyadyk, Introduction to the Theory of Uniform Approximation of Functions by Polynomials [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  13. S. B. Stechkin, “On the problem of multipliers of trigonometric polynomials,” Dokl. Nauk SSSR,75, No. 2, 165–168 (1950).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 38, No. 4, pp. 421–427, July–August, 1986.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gavrilyuk, V.T. Characterization of the saturation class C ψ0 L . Ukr Math J 38, 356–361 (1986). https://doi.org/10.1007/BF01057290

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01057290

Keywords

Navigation