{
  "id": "1207.0944",
  "version": "v5",
  "published": "2012-07-04T11:24:08.000Z",
  "updated": "2013-08-07T08:06:14.000Z",
  "title": "Extension of Convex Function",
  "authors": [
    "Min Yan"
  ],
  "comment": "28 pages, 11 Figures, should be the final definitive version",
  "categories": [
    "math.CA",
    "math.DS"
  ],
  "abstract": "We study the local and global versions of the convexity, which is closely related to the problem of extending a convex function on a non-convex domain to a convex function on the convex hull of the domain and beyond the convex hull. We also give the parallel results for the convexity defined by positive definite Hessian.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2013-08-07T08:06:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26B25"
    ],
    "keywords": [
      "convex function",
      "convex hull",
      "positive definite hessian",
      "parallel results",
      "global versions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.0944Y"
    }
  }
}