{
  "id": "1211.1351",
  "version": "v1",
  "published": "2012-11-06T19:14:07.000Z",
  "updated": "2012-11-06T19:14:07.000Z",
  "title": "Visible Points in Convex Sets and Best Approximation",
  "authors": [
    "Frank Deutsch",
    "Hein Hundal",
    "Ludmil Zikatanov"
  ],
  "comment": "Keywords and phrases: best approximation from convex sets, visible points in convex sets. 15 pages, 1 figure",
  "categories": [
    "math.FA",
    "math.NA"
  ],
  "abstract": "The concept of a visible point of a convex set relative to a given point is introduced. A number of basic properties of such visible point sets is developed. In particular, it is shown that this concept is useful in the study of best approximation, and it also seems to have potential value in the study of robotics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-11-06T19:14:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "41A65",
      "52A27"
    ],
    "keywords": [
      "best approximation",
      "basic properties",
      "visible point sets",
      "potential value",
      "convex set relative"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.1351D"
    }
  }
}