Hermite Interpolation of Data Sets by Minimal Spline Spaces

Springer Science and Business Media LLC - Tập 23 - Trang 211-227 - 2005
Manfred Sommer1
1Mathematisch-Geographische Fakultat, Katholische Universitat Eichstatt-Ingolstadt, D-85071 Eichstatt, Germany

Tóm tắt

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.