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arxiv: 1809.08618 · v1 · pith:FTIFHVYDnew · submitted 2018-09-23 · 🧮 math.NA · cs.NA

sk-Spline interpolation on R^n

classification 🧮 math.NA cs.NA
keywords interpolationpointssetssk-splinesanalogsarbitraryarticlecardinal
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The main aim of this article is to introduce sk-splines on R^n and establish representations of cardinal sk-splines with knots and points of interpolation on the sets AZ^n, where A is an arbitrary nonsingular matrix. Such sets of points are analogs for R^n of number theoretic Korobov's grids on the torus and proved to be useful for problems of very high dimensionality.

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