Skip to main content
SpringerLink
Log in

Inverse theorems for the approximation of (ψ, β)-Differentiable functions

  • 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

Log in via an institution

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

Instant access to the full article PDF.

Literature cited

  1. A. I. Stepanets, “Classification of periodic functions and the rate of convergence of their Fourier series,” Izv. Akad. Nauk SSSR, Ser. Mat.,50, No. 1, 101–136 (1986).

    Google Scholar 

  2. S. B. Stechkin, “On the order of best approximations of continuous functions,” Izv. Akad. Nauk SSSR, Ser. Mat.,15, No. 2, 219–242 (1951).

    Google Scholar 

  3. A. A. Konyushkov, “Best approximations by trigonometric polynomials and the Fourier coefficients,” Mat. Sb.,44, No. 1, 53–84 (1958).

    Google Scholar 

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

    Google Scholar 

  5. A. I. Stepanets and N. L. Pachulia, “On the strong summability of Fourier series,” in: Questions of Summation of Fourier Series, Preprint No. 85.61, Inst. Matematiki, Akad. Nauk UkrSSR, Kiev (1985), pp. 3–13.

    Google Scholar 

  6. G. T. Sokolov, “On certain extremal properties of trigonometric sums,” Izv. Akad. Nauk SSSR, Ser. 7, No. 6, 857–882 (1985).

    Google Scholar 

  7. A. F. Timan, Theory of Approximation of Functions of a Real Variable [in Russian], Gos. Izd. Fizikomatematicheskoi Literatury, Moscow (1960).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematics Institute, Academy of Sciences of the Ukrainian SSR, Kiev

    A. I. Stepanets & E. I. Zhukina

Authors
  1. A. I. Stepanets
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. E. I. Zhukina
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 41, No. 8, pp. 1106–1112, August, 1989.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Stepanets, A.I., Zhukina, E.I. Inverse theorems for the approximation of (ψ, β)-Differentiable functions. Ukr Math J 41, 953–959 (1989). https://doi.org/10.1007/BF01058314

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01058314

Keywords

Search

Navigation