{
  "id": "1506.02490",
  "version": "v1",
  "published": "2015-05-24T17:19:37.000Z",
  "updated": "2015-05-24T17:19:37.000Z",
  "title": "Stability of Some Positive Linear Operators on Compact Disk",
  "authors": [
    "M. Mursaleen",
    "Khursheed J. Ansari",
    "Asif Khan"
  ],
  "comment": "10 pages, Accepted in Acta Mathematica Scientia for publication",
  "categories": [
    "math.CA"
  ],
  "abstract": "Recently, Popa and Rasa [18,19] have shown the (in)stability of some classical operators defined on [0,1] and found best constant when the positive linear operators are stable in the sense of Hyers-Ulam. In this paper we show Hyers-Ulam (in)stability of complex Bernstein-Schurer operators, complex Kantrovich-Schurer operators and Lorentz operators on compact disk. In the case when the operator is stable in the sense of Hyers and Ulam, we find the infimum of Hyers-Ulam stability constants for respective operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-24T17:19:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "positive linear operators",
      "compact disk",
      "hyers-ulam stability constants",
      "complex bernstein-schurer operators",
      "complex kantrovich-schurer operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150602490M"
    }
  }
}