Shape preserving rational spline interpolation

  • John A. Gregory
Numerical Methods
Part of the Lecture Notes in Mathematics book series (LNM, volume 1105)


A rational cubic function is presented which has shape preserving interpolation properties. It is shown that the rational cubic can be used to construct C2 rational spline interpolants to monotonic or convex sets of data which are defined on a partition x1 < x2 < … < xn of the real interval [x1, xn].


Spectral Radius Convex Constraint Convexity Condition Consistency Equation SHAPE Preserve 
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Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • John A. Gregory
    • 1
  1. 1.Department of Mathematics and StatisticsBrunel UniversityUxbridgeEngland

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