Skip to main content
SpringerLink
Log in

Exact values of Bernstein widths of Sobolev classes of periodic functions

  • Brief Communications
  • Published:
Mathematical Notes Aims and scope Submit manuscript

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

References

  1. V. M. Tikhomirov,Some Questions in Approximation Theory [in Russian], Izd. Mosk. Univ., Moscow (1976).

    Google Scholar 

  2. A. Pinkus,n-Widths in Approximation Theory, Springer-Verlag, New York (1985), p. 297.

    Google Scholar 

  3. G. G. Magaril-Il'yaev, “Average dimension, widths, and optimal recovery of Sobolev classes of functions on a straight line,”Mat. Sb. [Math. USSR-Sb.],182, No. 11, 1635–1656 (1991).

    MATH  Google Scholar 

  4. A. P. Buslaev and V. M. Tikhomirov, “Some problems of nonlinear analysis and approximation theory,”Dokl. Akad. Nauk SSSR [Soviet Math. Dokl.],283, No. 1, 13–18 (1985).

    MathSciNet  Google Scholar 

  5. A. P. Buslaev and V. M. Tikhomirov, “Spectra of nonlinear differential equations and widths of Sobolev classes,”Mat. Sb. [Math. USSR-Sb.],181, No. 12, 1587–1606 (1991).

    Google Scholar 

  6. A. Pinkus, “n-widths of Sobolev spaces inL p \(\mathbb{T}\),”Constr. Appr.,1, No. 1, 15–62 (1985).

    MATH  MathSciNet  Google Scholar 

  7. A. P. Buslaev, “Bernstein-Nikol'skii inequalities and widths of Sobolev classes,”Dokl. Akad. Nauk SSSR [Soviet Math. Dokl.],323, No. 2, 202–205 (1992).

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Moscow State University, USSR

    A. P. Buslaev, G. G. Magaril-Il'yaev & Nguen T'en Nam

Authors
  1. A. P. Buslaev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. G. Magaril-Il'yaev
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Nguen T'en Nam
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated fromMatematicheskie Zametki, Vol. 58, No. 1, pp. 139–143, July, 1995.

The work was partially supported by the International Science Foundation.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Buslaev, A.P., Magaril-Il'yaev, G.G. & T'en Nam, N. Exact values of Bernstein widths of Sobolev classes of periodic functions. Math Notes 58, 770–774 (1995). https://doi.org/10.1007/BF02306187

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02306187

Keywords

Search

Navigation