{
  "id": "2011.15033",
  "version": "v1",
  "published": "2020-11-30T17:36:08.000Z",
  "updated": "2020-11-30T17:36:08.000Z",
  "title": "Dimensional analysis of fractal interpolation functions",
  "authors": [
    "S. Verma",
    "S. Jha"
  ],
  "comment": "19 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We provide a rigorous study on dimensions of fractal interpolation function defined on a closed and bounded interval of $\\mathbb{R}$ which is associated to a continuous function with respect to a base function, scaling functions and a partition of the interval. In particular, we provide an exact estimation of the box dimension of $\\alpha$-fractal functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-30T17:36:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "28A80"
    ],
    "keywords": [
      "fractal interpolation function",
      "dimensional analysis",
      "box dimension",
      "exact estimation",
      "fractal functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}