Skip to main content
SpringerLink
Log in

Optimal nodes for interpolation in Hardy spaces

  • 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. Fisher, S.D., Micchelli, C.A.: Then-width of Sets of Analytic Functions. Duke J. Math.47, 789–801 (1980)

    Google Scholar 

  2. Golomb, M.: Interpolation Operators as Optimal Recovery Schemes for Classes of Analytic Functions. In: Optimal Estimation in Approximation Theory (C.A. Micchelli and Th.J. Rivlin, eds.). International Symposium on Optimal Estimation in Approximation Theory (Freudenstadt 1976), pp. 93–138. New York-London: Plenum Press 1977

    Google Scholar 

  3. Larkin, F.M.: Optimal Approximation by “Almost Classical” Interpolation. In: Pade and Rational Approximation (E.B. Saff and R.S. Varga, eds.). Proceedings of an International Symposium, (Tampa, Florida 1976), pp. 275–288. New York-London: Academic Press, 1977

    Google Scholar 

  4. Melkman, A.A., Micchelli, C.A.: Spline Spaces are Optimal forL 2n-widths. Illinois J. Math.22, 541–564 (1978)

    Google Scholar 

  5. Meschkowski, H.: Hilbertsche Räume mit Kernfunktion. Berlin-Göttingen-Heidelberg: Springer 1962

    Google Scholar 

  6. Micchelli, C.A., Rivlin, Th.J.: A Survey of Optimal Recovery. In: Optimal Estimation in Approximation Theory (C.A. Micchelli and Th.J. Rivlin, eds.). International Symposium on Optimal Estimation in Approximation Theory (Freudenstadt 1976), pp. 1–54. New York-London: Plenum Press 1977

    Google Scholar 

  7. Osipenko, K.Yu.: Optimal Interpolation of Analytic Functions. Mat. Zametki 12, 465–476 (1972) [Russian]. Engl. Transl.12, 712–719 (1972)

    Google Scholar 

  8. Rice, J.R.: The Approximation of Functions II. Reading, Massachusetts: Addison-Wesley 1969

    Google Scholar 

  9. Schaback, R.: On Alternation Numbers in Nonlinear Chebyshev Approximation. J. Approximation Theory23, 379–391 (1978)

    Google Scholar 

  10. Shapiro, H.S.: Topics in Approximation Theory. Lecture Notes in Mathematics187 Berlin-Heidelberg-New York: Springer 1971

    Google Scholar 

  11. Washspress, E.L.: Extended Application of Alternating Direction Implicit Interation Model Problem Theory. SIAM J. Appl. Math.11, 994–1016 (1963)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Lehrstühle für Numerische und Angewandte Mathematik der Universität, Lotzestraße 16-18, D-3400, Göttingen, Germany

    Robert Schaback

Authors
  1. Robert Schaback
    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

Schaback, R. Optimal nodes for interpolation in Hardy spaces. Math Z 179, 169–178 (1982). https://doi.org/10.1007/BF01214309

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01214309

Keywords

Search

Navigation