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Approximation Theory and its Applications

, Volume 6, Issue 4, pp 58–64 | Cite as

Local behaviour of the first difference of a discrete cubic spline interpolator

  • S. S. Rana
Article

Abstract

In this paper, we have obtained a precise estimate concerning the discrete cubic spline interpolating a given function at the mesh points.

Keywords

Precise Estimate Coefficient Matrix Spline Interpolation Mesh Point Local Behavior 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    Ahlberg, J.H., Nilson E.N. and Walsh J.L., The Theory of Splines and Their Applications, Academic Press, New York, 1967.MATHGoogle Scholar
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    Dikshit H.P. and Powar P.L., Discrete Cubic Spline Interpolation, Numer. Math., 40(1982), 71–78.MATHCrossRefMathSciNetGoogle Scholar
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    Dikshit, H.P. and Rana S.S., Local Behavior of the Derivative of a Mid Point Cubic Spline Interpolator, Int. J. Maths. and Maths. Sci. 10(1987), 71–78.MathSciNetGoogle Scholar
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    Lyche, T., Discrete Cubic Spline Interpolation, Report RRI 5, University of Oslo, 1975.Google Scholar
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    Lyche, T., Discrete Cubic Spline Interpolation, BIT, 16(1976), 281–290.MATHCrossRefMathSciNetGoogle Scholar
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    Rosenblatt, M., The Local Behavior of the Derivative of a Cubic Spline Interpolator, J. Approx. Theory, 15(1975), 382–387.MATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Springer 1990

Authors and Affiliations

  • S. S. Rana
    • 1
  1. 1.Institut für Mathematik I (WE01)Freie Universität BerlinBerlin 33West Germany

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