Skip to main content
SpringerLink
Log in

Linear Widths of the Besov Classes of Periodic Functions of Many Variables. II

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We obtain order estimates for linear widths of the Besov classes \(B_{p,{\theta }}^r\) of periodic functions of many variables in the space L q for certain values of parameters p and q different from those considered in the first part of the work.

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.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. A. S. Romanyuk, “Linear widths of the Besov classes of periodic functions of many variables. I,” Ukr. Mat. Zh. 53, No. 5, 647–661 (2001).

    Google Scholar 

  2. V. N. Temlyakov, “Approximation of functions with bounded mixed derivative,” Tr. Mat. Inst. Akad. Nauk SSSR 178, 1–112 (1986).

    Google Scholar 

  3. V. M. Tikhomirov, “ Approximation theory,” in: VINITI Series in Contemporary Problems in Mathematics. Fundamental Trends [in Russian], Vol. 14, VINITI, Moscow (1987), pp. 103–260.

    Google Scholar 

  4. B. S. Kashin, “Widths of certain finite-dimensional sets and classes of smooth functions,” Izv. Akad. Nauk SSSR, Ser. Mat. 41, No. 2, 334–351 (1977).

    Google Scholar 

  5. É. M. Galeev, “ Linear widths of Hölder-Nikol'skii classes of periodic functions of many variables,” Mat. Zametki 59, No. 2, 189–199 (1996).

    Google Scholar 

  6. A. S. Romanyuk, “Approximation of Besov classes of periodic functions of many variables in the space L q,” Ukr. Mat. Zh. 43, No. 10, 1398–1408 (1991).

    Google Scholar 

  7. É. M. Galeev, “Approximation of classes of functions with several bounded derivatives by Fourier sums,” Mat. Zametki 23, No. 2, 197–212 (1978).

    Google Scholar 

  8. V. N. Temlyakov, “Estimates of asymptotic characteristics of classes of functions with bounded mixed derivative or difference,” Tr. Mat. Inst. Akad. Nauk SSSR 189, 138–168 (1989).

    Google Scholar 

  9. A. Zygmund, Trigonometric Series [Russian translation], Vols. 1, 2, Mir, Moscow (1965).

    Google Scholar 

  10. A. S. Romanyuk, “On the best approximations and Kolmogorov widths of Besov classes of periodic functions of many variables,” Ukr. Mat. Zh. 47, No. 1, 79–92 (1995).

    Google Scholar 

Download references

Author information

Authors and Affiliations

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

    A. S. Romanyuk

Authors
  1. A. S. Romanyuk
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Romanyuk, A.S. Linear Widths of the Besov Classes of Periodic Functions of Many Variables. II. Ukrainian Mathematical Journal 53, 965–977 (2001). https://doi.org/10.1023/A:1013356019431

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1013356019431

Keywords

Search

Navigation