{
  "id": "1504.05093",
  "version": "v1",
  "published": "2015-04-20T15:49:37.000Z",
  "updated": "2015-04-20T15:49:37.000Z",
  "title": "Approximation by (p,q)-Lorentz polynomials on a compact disk",
  "authors": [
    "M. Mursaleen",
    "Faisal Khan",
    "Asif Khan"
  ],
  "comment": "13 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "In this paper, we introduce a new analogue of Lorentz polynomials based on (p,q)-integers and we call it as (p,q)-Lorentz polynomials. We obtain quantitative estimate in the Voronovskaja's type thoerem and exact orders in simultaneous approximation by the complex (p,q)-Lorentz polynomials of degree n, where q > p > 1 attached to analytic functions in compact disks of the complex plane.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-20T15:49:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "41A10",
      "41A25",
      "41A36"
    ],
    "keywords": [
      "compact disk",
      "voronovskajas type thoerem",
      "lorentz polynomials",
      "exact orders",
      "analytic functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150405093M"
    }
  }
}