Skip to main content
SpringerLink
Log in

Representation of functions of Besov class on manifolds by algebraic polynomials

  • Published:
Acta Mathematica Hungarica 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. O. V. Besov, V. P. Il'in and S. Nikol'skii,Integral Representations of Functions and Imbedding Theorems, Vol. II (Washington D. C., 1969), pp. 1–311.

    Google Scholar 

  2. S. M. Nikol'skii,Approximation of Functions of Several Variables and Imbedding, Theorems, Springer-Verlag (1975), pp. 1–420.

  3. S. M. Nikol'skii, Approximation of functions by trigonometric polynomials on a manifold I, II,DAN USSR,319 (1991), 1313–1317 and320 (1991), 40–44.

    Google Scholar 

  4. S. M. Nikol'skii, Bernstein type inequality for algebraic polynomials on manifolds,Doklady RAN,335 (1994), 146–149.

    Google Scholar 

  5. S. M. Nikol'skii, Approximation by polynomials of functions of the classH r p ,Doklady RAN,337 (1994), 165–167.

    Google Scholar 

  6. S. M. Nikol'skii, Approximation on manifolds by algebraic polynomials,Proceedings of the Math. Inst. of RAN,210 (1995) (in print).

  7. A. A. Konushkov, The best approximations of trigonometric polynomials and Fourier coefficients,Matem. Sbornik,44(86) (1958), 53–84.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Steklov Institute, Russian academy of sciences, Ul. Vavilova 42, B-333, Moscow, Russia

    S. M. Nikol'skii

Authors
  1. S. M. Nikol'skii
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Devoted to Professor Károly Tandori on his 70th birthday with great respect and pleasure

This work is sponsored by the Russian Fund of Fundamental Investigations (93-011-197).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nikol'skii, S.M. Representation of functions of Besov class on manifolds by algebraic polynomials. Acta Math Hung 68, 99–109 (1995). https://doi.org/10.1007/BF01874437

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01874437

Keywords

Search

Navigation