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Hermite Interpolation of Data Sets by Minimal Spline Spaces

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Constructive Approximation Aims and scope

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.

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  1. Mathematisch-Geographische Fakultat, Katholische Universitat Eichstatt-Ingolstadt, D-85071 Eichstatt, Germany

    Manfred Sommer

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  1. Manfred Sommer
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Correspondence to Manfred Sommer.

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Sommer, M. Hermite Interpolation of Data Sets by Minimal Spline Spaces. Constr Approx 23, 211–227 (2006). https://doi.org/10.1007/s00365-004-0589-y

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  • DOI: https://doi.org/10.1007/s00365-004-0589-y

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