{
  "id": "2304.09440",
  "version": "v1",
  "published": "2023-04-19T06:17:27.000Z",
  "updated": "2023-04-19T06:17:27.000Z",
  "title": "Fractal functions on the real projective plane",
  "authors": [
    "A. Hossain",
    "Md. N. Akhtar",
    "M. A. NavascuÉs"
  ],
  "comment": "25 pages, 18 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "Formerly the geometry was based on shapes, but since the last centuries this founding mathematical science deals with transformations, projections and mappings. Projective geometry identifies a line with a single point, like the perspective on the horizon line and, due to this fact, it requires a restructuring of the real mathematical and numerical analysis. In particular, the problem of interpolating data must be refocused. In this paper we define a linear structure along with a metric on a projective space, and prove that the space thus constructed is complete. Then we consider an iterated function system giving rise to a fractal interpolation function of a set of data.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-04-19T06:17:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "28A80",
      "41Axx"
    ],
    "keywords": [
      "real projective plane",
      "fractal functions",
      "fractal interpolation function",
      "iterated function system giving rise",
      "linear structure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}