{
  "id": "1503.07404",
  "version": "v1",
  "published": "2015-03-24T08:52:30.000Z",
  "updated": "2015-03-24T08:52:30.000Z",
  "title": "On (p,q)-analogue of Bernstein Operators",
  "authors": [
    "M. Mursaleen",
    "Khursheed J. Ansari",
    "Asif Khan"
  ],
  "comment": "15 pages, 4 figures",
  "categories": [
    "math.CA"
  ],
  "abstract": "In this paper, we introduce a new analogue of Bernstein operators and we call it as (p,q)-Bernstein operators which is a generalization of q-Bernstein operators. We also study approximation properties based on Korovkin's type approximation theorem of (p,q)-Bernstein operators and establish some direct theorems. Furthermore, we show comparisons and some illustrative graphics for the convergence of operators to a function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-24T08:52:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "41A10",
      "41A25",
      "41A36",
      "40A30"
    ],
    "keywords": [
      "korovkins type approximation theorem",
      "study approximation properties",
      "q-bernstein operators",
      "direct theorems",
      "generalization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150307404M"
    }
  }
}