## Shape-preserving $$C^ 2$$ cubic polynomial interpolating splines.(English)Zbl 0731.65007

A direct inexpensive constructive method for interpolating convex monotonic data by shape-preserving $$C^ 2$$ cubic polynomial splines is proposed. Whenever the corresponding polyhedron in $$R^ 2$$ is nonempty, the method determines the two free parameters that occur in the classical cubic spline interpolation problem in such a way that the shape preserving conditions are ensured.

### MSC:

 65D07 Numerical computation using splines 65D05 Numerical interpolation 41A15 Spline approximation
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