{
  "id": "2005.08692",
  "version": "v1",
  "published": "2020-05-18T13:16:24.000Z",
  "updated": "2020-05-18T13:16:24.000Z",
  "title": "Shape preserving properties of the Bernstein polynomials with integer coefficients",
  "authors": [
    "Borislav R. Draganov"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "The Bernstein polynomials with integer coefficients do not generally preserve monotonicity and convexity. We establish sufficient conditions under which they do. We also observe that they are asymptotically shape preserving.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-18T13:16:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "41A10",
      "41A29",
      "41A35",
      "41A36"
    ],
    "keywords": [
      "shape preserving properties",
      "integer coefficients",
      "bernstein polynomials",
      "preserve monotonicity",
      "establish sufficient conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}