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arXiv · 2112.08518

About some aspects of function interpolation by trigonometric splines

Volodymyr Denysiuk·Olena Hryshko
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Abstract

Interpolation of classes of differentiated functions given on a finite interval by trigonometric splines using the phantom node method is considered. This method consists in supplementing a given sequence of values of an approximate function with an even number of values of a phantom function, which is constructed in such a way as to eliminate gaps in both the function itself and its derivatives up to and including a certain order; in the General case, these gaps occur with the periodic continuation of the function given at a finite interval. The results of calculations on test examples for trigonometric splines of the third order are given; these calculations illustrate the high efficiency of the proposed method.

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Volodymyr Denysiuk, Olena Hryshko. 2021-12-15. About some aspects of function interpolation by trigonometric splines. https://arxiv.org/abs/2112.08518

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