Skip to main content
Log in

Approximations of continuous periodic functions that are differentiate along the trajectories of dynamical systems

  • Brief Communications
  • 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. D. V. Anosov, “Geodesic flows on Riemannian manifolds of negative curvature,” Tr, Mat. Inst. Akad. Nauk SSSR,90, 1–210 (1967).

    Google Scholar 

  2. N. N. Bogolyubov, Yu. A. Mitropol'skii, and A. M. Samoilenko, The Method of Accelerated Convergence in Nonlinear Mechanics [in Russian], Naukova Dumka, Kiev (1969).

    Google Scholar 

  3. A. M. Samoilenko, “On the preservation of the invariant torus under perturbation,” Izv. Akad. Nauk SSSR, Ser. Mat.,34, No. 6, 1219–1240 (1970).

    Google Scholar 

  4. F. W. Wilson, “Smoothing derivatives of functions and applications,” Trans. Am. Math. Soc,139, 413–438 (1969).

    Google Scholar 

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

    Google Scholar 

  6. A. I. Stepanets, Uniform Approximations by Trigonometric Polynomials [in Russian], Naukova Dumka, Kiev (1981).

    Google Scholar 

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

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 38, No. 1, pp. 111–114, January–February, 1986.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kulik, A.N. Approximations of continuous periodic functions that are differentiate along the trajectories of dynamical systems. Ukr Math J 38, 100–103 (1986). https://doi.org/10.1007/BF01056770

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01056770

Keywords

Navigation