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Cardinal Hermite-spline-interpolation on the equidistant lattice

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Summary

The theory of Hermite-spline interpolation on the equidistant latticeZ is written in purly real terms and this for an arbitrary polynomial degree, Hermitian order and node-shift parameter. An explicit representation formula for the Hermitian fundamental splines (Lagrangians) is presented and the convergence of the corresponding Lagrange-series is discussed.

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  1. Lehrstuhl Mathematik III, Universität Dortmund, Postfach 500500, D-4600, Dortmund 50, Germany

    M. Reimer

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  1. M. Reimer
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Reimer, M. Cardinal Hermite-spline-interpolation on the equidistant lattice. Numer. Math. 56, 345–357 (1989). https://doi.org/10.1007/BF01396609

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