Abstract
In this note a necessary and sufficient criterion is given under which the problem of convex interpolation has at least one C2-solution. This condition applies to cubic splines and also to some types of related splines. Further, recently developed results concerning the convex interpolation with cubic C1-splines are reviewed.
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Schmidt, J.W. (1987). On the Convex Cubic C2-Spline Interpolation. In: Collatz, L., Meinardus, G., Nürnberger, G. (eds) Numerical Methods of Approximation Theory/Numerische Methoden der Approximationstheorie. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 81. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6656-9_19
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DOI: https://doi.org/10.1007/978-3-0348-6656-9_19
Publisher Name: Birkhäuser, Basel
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