Skip to main content
SpringerLink
Log in

Interpolatory properties of best rationalL 1-approximations

  • Published:
Constructive Approximation Aims and scope

Abstract

In this paper the distribution of the zeros of the error function for bestL 1-approximation by rational functions fromR n,m is considered. It is shown that the maximal distance between such zeros isO(1/(n−m)), ifn > m.

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

References

  1. A. Kroó (1980):The Lipschitz constant of the operator of best approximation. Acta Math. Acad. Sci. Hungar.,35:279–292.

    Google Scholar 

  2. A. Kroó (1986):Chebyshev rank in L 1-approximation. Trans. Amer. Math. Soc.,296:301–313.

    Google Scholar 

  3. A. Kroó, F. Peherstorfer (to appear):Interpolatory properties of best L1-approximants. Math. Z.

  4. F. Peherstorfer (1979):On the representation of extremal functions in the L 1-norm. J. Approx. Theory,27:61–75.

    Google Scholar 

  5. J. M. Wolfe (1976): J. Approx. Theory,17:166–176.

    Google Scholar 

  6. J. M. Wolfe (1983):Critical points in nonlinear L 1-approximation. J. Approx. Theory,37:147–154.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematical Institute of the Hungarian Academy of Sciences, Reáltanoda u. 13-15, H-1053, Budapest, Hungary

    András Kroó

  2. Institut für Mathematik, J. Kepler Universität Linz, A-4040, Linz, Austria

    Franz Peherstorfer

Authors
  1. András Kroó
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Franz Peherstorfer
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by Edward B. Saff.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kroó, A., Peherstorfer, F. Interpolatory properties of best rationalL 1-approximations. Constr. Approx 4, 97–106 (1988). https://doi.org/10.1007/BF02075450

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02075450

AMS classification

Key words and phrases

Search

Navigation