{
  "id": "1504.05876",
  "version": "v1",
  "published": "2015-04-22T16:48:13.000Z",
  "updated": "2015-04-22T16:48:13.000Z",
  "title": "On (p,q)-analogue of Bernstein-Schurer operators",
  "authors": [
    "M. Mursaleen",
    "Md. Nasiruzzaman"
  ],
  "comment": "8 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "Recently, Mursaleen et al [14], introduced and studied the (p,q)-analogue of Bernstein operators by using the idea of (p,q)-integers. In this paper, we generalize q-Bernstein-Schurer operators using (p,q)-integers and obtain Korovkin's type approximation theorem for these operators. Furthermore, we also compute the convergence of the operators by using the modulus of continuity and provide some direct Theorems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-22T16:48:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "41A10",
      "41A25",
      "41A36",
      "40A30"
    ],
    "keywords": [
      "korovkins type approximation theorem",
      "direct theorems",
      "generalize q-bernstein-schurer operators",
      "bernstein operators",
      "convergence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150405876M"
    }
  }
}