{
  "id": "2310.18722",
  "version": "v1",
  "published": "2023-10-28T14:55:31.000Z",
  "updated": "2023-10-28T14:55:31.000Z",
  "title": "B-splines and kernels of trigonometric interpolation splines",
  "authors": [
    "Volodymyr Denysiuk",
    "Olena Hryshko"
  ],
  "comment": "7 pages, 6 figures",
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-10-28T14:55:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "trigonometric interpolation splines",
      "trigonometric riemann b-splines",
      "article focuses",
      "arbitrary order",
      "trigonometric b-splines"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}