Arkiv för Matematik

, Volume 23, Issue 1–2, pp 159–170 | Cite as

Convergence of complete spline interpolation for holomorphic functions

  • C. A. Micchelli
  • A. Sharma
Article

Keywords

Holomorphic Function Hardy Space Quadrature Formula Interpolation Problem Extremal Property 

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References

  1. 1.
    de Boor, Carl,Practical guide to splines, Springer-Verlag, New York 1978.MATHGoogle Scholar
  2. 2.
    Fisher, S. D. andMichelli, C. A., Optimal sampling for holomorphic functions,Amer. J. Math. (1984), 593–609.Google Scholar
  3. 3.
    Karlin, S., Total positivity, interpolation by splines and Green's functions of differential operators,J. Approx. Theory 4, (1971), 91–112.MATHCrossRefMathSciNetGoogle Scholar
  4. 4.
    Schoenberg, I. J., On monosplines of least deviation and best quadrature formulae,SIAM J. Number. Anal. 2, (1965).Google Scholar

Copyright information

© Institut Mittag-Leffler 1985

Authors and Affiliations

  • C. A. Micchelli
    • 1
  • A. Sharma
    • 2
  1. 1.IBM T. J. Watson Research CenterYorktown Heights
  2. 2.Department of MathematicsUniversity of AlbertaEdmonton

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