Allgemeine interpolierende Splines vom Grade 3 |
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Authors: | Priv-Doz Dr H Engels |
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Affiliation: | 1. Zentralinstitut für Angewandte Mathematik, Kernforschungsanlage Jülich GmbH, Postfach 365, D-5170, Jülich, Bundesrepublik Deutschland
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Abstract: | Choosing a special case of a general Hermitian interpolating operator, an interpolating spline is constructed with respect to the usual transient-conditions within the knots of the spline. The resulting spline in general is not a polynomial spline. The polynomial spline is contained as a special case as well as e. g. rational, trigonometrical, and exponential splines. A sufficient criterion for existence and uniqueness is given for general interpolating splines of third degree. A statement concerning convergence is added. |
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