Skip to main content
SpringerLink
Log in

Uniform-metric nonlinear approximation of functions from Besov-Lorentz spaces

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

A number of results on a nonlinear approximation in the uniform metric of functions in Besov-Lorentz spaces by means of their approximation by ϕ-polynomials and, in particular, by rational functions and splines, is obtained. Bibliography: 11 titles.

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

Literature Cited

  1. A. A. Gonchar, “The rate of rational approximation and properties of functions” [in Russian], in:Proceedings of the International Mathematics Congress (Moscow 1966), Nauka, Moscow (1968), pp. 329–356.

    Google Scholar 

  2. Yu. A. Brudnyi, “Rational approximation and embedding theorems,”Dokl. Akad. Nauk SSSR,247, 269–272 (1979).

    MathSciNet  Google Scholar 

  3. V. V. Peller, “The Hankel operators of the class γ p and their applications (rational approximation, Gaussian processes, the operator majoration problem),”Mat. Sb.,113, 538–581 (1980).

    MATH  MathSciNet  Google Scholar 

  4. P. Petruschev and V. Popov,Rational Approximation of Real Valued Functions, Cambridge (1987).

  5. A. A. Pekarskii, “The best rational approximation in complex domain,”Trudy Mat. Inst. Akad. Nauk SSSR,190, 222–233 (1989).

    MATH  MathSciNet  Google Scholar 

  6. Yu. V. Netrusov, “Metric estimates of set capacities of sets in Besov spaces,”Trudy Mat. Inst. Akad Nauk SSSR,180, 159–185 (1989);Proc. Steklov Inst. Math., Issue 1, 167–192 (1992).

    MathSciNet  Google Scholar 

  7. Yu. V. Netrusov, “Estimates of capacities related to Besov spaces,”Zap. Nauchn. Sem. POMI,201, 124–156 (1992).

    MATH  Google Scholar 

  8. Yu. V. Netrusov, “Interpolation (a real method) of spaces of smooth functions with the space of bounded functions,”Dokl. Ross. Akad. Nauk,326, 1294–1298 (1992);Russian Acad. Sci. Dokl. Math.,46, 178–181 (1993).

    Google Scholar 

  9. J. Peetre,New Thoughts on Besov Spaces, Durham (1976).

  10. M. Frazier and B. Jawerth, “A discrete transform and decompositions of distribution spaces,”J. Funct. Anal.,93, 34–170 (1990).

    Article  MathSciNet  Google Scholar 

  11. Yu. V. Netrusov, “Sets of singularities of functions in spaces of the Besov and Lizorkin-Tribel type,”Trudy Mat. Inst. Akad. Nauk SSSR,187, 162–187 (1989);Proc. Steklov Inst. Math., Issue 3, 185–203 (1990).

    MathSciNet  Google Scholar 

Download references

Authors
  1. Yu. V. Netrusov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 204, 1993, pp. 61–81.

Translated by O. A. Ivanov.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Netrusov, Y.V. Uniform-metric nonlinear approximation of functions from Besov-Lorentz spaces. J Math Sci 79, 1308–1319 (1996). https://doi.org/10.1007/BF02366460

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02366460

Keywords

Search

Navigation