Positive interpolation with rational quadratic splines. (English) Zbl 0676.41017
Summary: A necessary and sufficient criterion is presented under which the property of posivity carry over from the data set to rational quadratic spline interpolants. The criterion can always be satisfied if the occuring parameters are properly chosen.
MSC:
| 41A17 | Inequalities in approximation (Bernstein, Jackson, Nikol’skiĭ-type inequalities) |
| 65D07 | Numerical computation using splines |
| 41A05 | Interpolation in approximation theory |
Software:
pchipReferences:
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