Skip to main content
SpringerLink
Log in

The degree of approximation by rational functions with fixed poles

  • Published:
Mathematische Zeitschrift 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. Ahiezer, N.I.: Vorlesungen über Approximationstheorie. Berlin: Akademie-Verlag 1953

    Google Scholar 

  2. Andersson, J.-E.: On the degree of polynomial and rational approximation of holomorphic functions. Dissertation. University of Göteborg 1975

  3. Andersson, J.-E.: On the degree of weighted polynomial approximation of holomorphic functions. Analysis math. (to appear)

  4. Dynkin, E.M.: Uniform polynomial approximation in complex domains (Russian). Zapiski naučn. Sem. Leningrad. Otd. mat. Inst. Steklov47, 164–165 (1974)

    Google Scholar 

  5. Fichera, G.: On the approximation of analytic functions by rational functions. In: Topics in analysis (Jyväskylä, 1970) pp. 99–109. Lecture Notes in Mathematics 419. Berlin-Heidelberg-New York: Springer 1974

    Google Scholar 

  6. Ganelius, T.H.: Degree of approximation by polynomials on compact plane sets. In: Approximation Theory (Austin 1973), pp. 347–351. New York-London: Academic Press 1973

    Google Scholar 

  7. Mergeljan, S.N., Džrbašjan, M.M.: On best approximation by rational functions(Russian). Doklady Akad. Nauk SSSR (N.S.)99, 673–675 (1954)

    Google Scholar 

  8. Rusak, V.N.: Interpolation and approximation by rational functions with fixed poles (Russian). In: Studies Contemporay. Problems Constructive Theory of Functions. (Proc. Second All-Union Conf., Baku, 1962) pp. 333–338. Baku: Izdat. Akad. Nauk Azerbaîdzan, SSR 1965

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Göteborg, S40220, Göteborg, Sweden

    Jan-Erik Andersson & Tord Ganelius

Authors
  1. Jan-Erik Andersson
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Tord Ganelius
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Andersson, JE., Ganelius, T. The degree of approximation by rational functions with fixed poles. Math Z 153, 161–166 (1977). https://doi.org/10.1007/BF01179789

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01179789

Keywords

Search

Navigation