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Hermite Interpolation of Data Sets by Minimal Spline Spaces
Authors:Manfred Sommer
Institution:(1) Mathematisch-Geographische Fakultat, Katholische Universitat Eichstatt-Ingolstadt, D-85071 Eichstatt, Germany
Abstract:Hermite interpolation of 2n + k data by spline spaces of order k with n variable knots counting multiplicities is studied. A characterization of the minimal spline spaces which admit a solution of the interpolation problem is obtained. A sufficient condition on uniqueness of interpolating spline functions is given.
Keywords:Hermite interpolation  Spline functions  Variable knots  B-Splines
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