Three forms of representation of trigonometric interpolation splines are considered, in particular, the representation by the coefficients of the interpolation trigonometric polynomial, the representation by trigonometric B-splines, which are considered in more detail, and the representation by fundamental trigonometric splines. The first and third forms of representation are generalized to the case of non-periodic functions.
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Denysiuk et al. (2024) studied this question.
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