Skip to main content
Log in

Approximation by elements of a finite-dimensional subspace of functions from various sobolev or nikol'skii spaces

  • Published:
Mathematical notes of the Academy of Sciences of the USSR Aims and scope Submit manuscript

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. V. N. Temlyakov, “Diameters of certain classes of functions of several variables,” Dokl. Akad. Nauk SSSR,256, No. 2, 314–317 (1982).

    Google Scholar 

  2. V. N. Temlyakov, “On linear bounded methods of approximation of functions,” in: Reports of the Extended Sessions of a Seminar of the I. N. Vekua Institute of Applied Mathematics (Tbilisi, 1985), Vol. 1, No. 2 [in Russian], Tbilis. Gos. Univ., Tbilisi (1985), pp. 144–147.

    Google Scholar 

  3. K. Hollig, “Diameters of classes of smooth functions,” in: Quantitative Approximation (Proc. Internat. Sympos., Bonn, 1979), Academic Press, New York (1980), pp. 163–175.

    Google Scholar 

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

    Google Scholar 

  5. S. M. Nikol'skii, Approximation of Functions of Several Variables and Imbedding Theorems, Springer, New York (1975).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Matematicheskie Zametki, Vol. 43, No. 6, pp. 770–785, June, 1988.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Temlyakov, V.N. Approximation by elements of a finite-dimensional subspace of functions from various sobolev or nikol'skii spaces. Mathematical Notes of the Academy of Sciences of the USSR 43, 444–454 (1988). https://doi.org/10.1007/BF01158514

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01158514

Keywords

Navigation