B-splines and kernels of trigonometric interpolation splines

Published 28 Oct 2023 in math.NA and cs.NA | (2310.18722v1)

Abstract: This article focuses on trigonometric Riemann B-splines and Riemann kernels of trigonometric interpolation splines of arbitrary order; it is shown that trigonometric interpolation splines are a convolution of trigonometric B-splines with corresponding kernels. Theoretical statements are followed by examples, and the results are applicable in many practical areas.

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