Skip to main content
SpringerLink
Log in

Approximation of compressions of periodic functions in the spaceL p,p<1

  • Brief Communications
  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We investigate the behavior of the best approximation of compressions of functions by trigonometric polynomials in the spaceL p, p<1.

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. M. I. Ginzburg and S. A. Pichugov, “On the invariance of elements of the best approximation and a Glaser theorem,”Ukr. Mat. Zh.,33, No. 5, 664–667 (1981).

    Google Scholar 

  2. V. I. Berdyshev, “On the Jackson theorem inL p,”Tr. Mat. Inst. Akad. Nauk SSSR,88, 3–16 (1967).

    Google Scholar 

  3. V. I. Ivanov, “Direct and inverse theorems in the theory of approximations in the metric ofL p for 0<p<1,”Mat. Zametki,18, No. 5, 641–658 (1975).

    Google Scholar 

  4. P. Oswald, “Some inequalities for trigonometric polynomials in the metric ofL p, 0<p<1,”Izv. Vyssh Uchebn. Zaved., Ser. Mat.,7, 65–75 (1976).

    Google Scholar 

  5. S. A. Pichugov, “Approximation of periodic functions by constants in the metric spaces ϕ(L),”Ukr. Mat. Zh.,46, No. 8, 1095–1098 (1994).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dnepropetrovsk University, Dnepropetrovsk

    S. A. Pichugov

Authors
  1. S. A. Pichugov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol.47, No. 12, pp. 1708–1711, December, 1995.

This work was financially supported by the Foundation for Fundamental Research of the Ukrainian State Committee on Science and Technology.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pichugov, S.A. Approximation of compressions of periodic functions in the spaceL p,p<1. Ukr Math J 47, 1953–1957 (1995). https://doi.org/10.1007/BF01060970

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01060970

Keywords

Search

Navigation