{
  "id": "2011.06310",
  "version": "v1",
  "published": "2020-11-12T10:51:53.000Z",
  "updated": "2020-11-12T10:51:53.000Z",
  "title": "Trigonometric splines and some of their properties",
  "authors": [
    "Vldimir Denysiuk"
  ],
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "A class of trigonometric interpolation splines depending on parameter vectors, selected convergence factors and interpolation factors is considered. The concept of crosslink grids and interpolation grids is introduced; these grids can match or y not match. Parseval equality is given and some properties of splines are discussed. The material is illustrated by a numerical example.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-12T10:51:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "trigonometric splines",
      "properties",
      "trigonometric interpolation splines",
      "parseval equality",
      "parameter vectors"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}