Abstract
In this note, we discuss solutions of differential equation \((D^2-\alpha ^2)^{k}u=0\) on \(\mathbb {R}\setminus \mathbb {Z}\), which we call polyhyperbolic splines. We develop the fundamental function of interpolation and prove various properties related to these splines.
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Ledford, J. (2017). Polyhyperbolic Cardinal Splines. In: Fasshauer, G., Schumaker, L. (eds) Approximation Theory XV: San Antonio 2016. AT 2016. Springer Proceedings in Mathematics & Statistics, vol 201. Springer, Cham. https://doi.org/10.1007/978-3-319-59912-0_9
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DOI: https://doi.org/10.1007/978-3-319-59912-0_9
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