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Error evaluation for cubic bessel interpolation

  • Ai-Ping Bien
  • Fuhua Cheng
Numerical Methods
  • 483 Downloads
Part of the Lecture Notes in Mathematics book series (LNM, volume 1105)

Abstract

The convergence property of cubic Bessel interpolation is investigated and an exact error evaluation for functions of continuous third derivative when the interpolation points are uniformly spaced is given.

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References

  1. 1.
    G. Birkhoff and C. de Boor, Piecewise polynomial interpolation and approximation, in "Approximation of Functions", H. L. Garabedian ed., Elsevier Pub. Co., Armsterdam, 1965.Google Scholar
  2. 2.
    C. de Boor, A Practical Guide to Splines, Springer-Verlag, Berlin/New York, 1978.CrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • Ai-Ping Bien
    • 1
  • Fuhua Cheng
    • 2
  1. 1.Institute of Applied MathematicsNational Cheng-Kung UniversityTainanTaiwan
  2. 2.Institute of Computer and Decision SciencesNational Tsing Hua UniversityHsinchuTaiwan

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