English

B-splines and kernels of trigonometric interpolation splines

Numerical Analysis 2023-10-31 v1 Numerical Analysis

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.

Keywords

Cite

@article{arxiv.2310.18722,
  title  = {B-splines and kernels of trigonometric interpolation splines},
  author = {Volodymyr Denysiuk and Olena Hryshko},
  journal= {arXiv preprint arXiv:2310.18722},
  year   = {2023}
}

Comments

7 pages, 6 figures

R2 v1 2026-06-28T13:04:40.484Z