Finite Fourier series. The class of trigonometric splines
Numerical Analysis
2025-02-28 v1 Numerical Analysis
Abstract
Finite trigonometric Fourier series on a set of discrete equidistant points are considered. A finite system of orthogonal functions that have interpolation and certain differential properties on the period is introduced. Finite Fourier series based on this system of functions form a class of trigonometric splines, which includes polynomial periodic simple splines. Trigonometric splines suggest generalizations in several directions and certainly require further research.
Keywords
Cite
@article{arxiv.2502.20302,
title = {Finite Fourier series. The class of trigonometric splines},
author = {Volodymyr Denysiuk and Lydmila Rybachuk},
journal= {arXiv preprint arXiv:2502.20302},
year = {2025}
}
Comments
10 pages, 3 figures