Finite Fourier series. The class of trigonometric splines
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913710962900992 |
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| author | Denysiuk, Volodymyr Rybachuk, Lydmila |
| author_facet | Denysiuk, Volodymyr Rybachuk, Lydmila |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_20302 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Finite Fourier series. The class of trigonometric splines Denysiuk, Volodymyr Rybachuk, Lydmila Numerical Analysis 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. |
| title | Finite Fourier series. The class of trigonometric splines |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2502.20302 |