Skip to main content
Log in

Simultaneous approximation of periodic functions and their derivatives by fourier sums

  • 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. N. Kolmogorov, “On the order of magnitude of the remainder of Fourier series of differentiable functions,” Ann. Math.,36, 521–526 (1935).

    Google Scholar 

  2. S. M. Nikol'skii, “On certain methods of approximation by trigonometric sums,” Izv. Akad. Nauk SSSR, Ser. Mat.,4, No. 6, 509–520 (1940).

    Google Scholar 

  3. S. M. Nikol'skii, “Approximation of periodic functions by trigonometric polynomials,” Tr. Mat. Inst. Akad. Nauk SSSR, No. 15, 3–76 (1945).

    Google Scholar 

  4. A. Zygmund, Trigonometric Series, Vol. 2, Warsaw (1935).

  5. Tables of Integral Sine and Cosine [in Russian], Nauka, Moscow (1956).

  6. V. K. Dzyadyk and A. I. Stepanets, “On series of zeros of integral sine,” Metrich. Vopr. Teor. Funkts. Otobrazh., No. 2, 64–73 (1971).

    Google Scholar 

  7. N. P. Korneichuk, Extremal Problems of Approximation Theory [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  8. A. I. Stepanets, “Simultaneous approximation of periodic functions and their derivatives by Fourier sums,” Dokl. Akad. Nauk SSSR,254, No. 3, 543–544.

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 33, No. 3, pp. 356–367, May–June, 1981.

The principal result has been formulated in [8].

Rights and permissions

Reprints and permissions

About this article

Cite this article

Stepanets, A.I. Simultaneous approximation of periodic functions and their derivatives by fourier sums. Ukr Math J 33, 274–282 (1981). https://doi.org/10.1007/BF01085566

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01085566

Keywords

Navigation