1 Ocak 2012 Dergi makalesi Açık Erişim

Budakci, Gulter; Oruc, Halil

Citation Style Language JSON

{
  "DOI": "10.1016/j.mcm.2011.12.049", 
  "abstract": "We consider a special knot sequence u(i+1) = qu(i) + 1 and define a one parameter family of Bernstein-Schoenberg operators. We prove that this operator converges to f uniformly for all f in C[0, 1]. This operator also inherits the geometric properties of the classical Bernstein-Schoenberg operator. Moreover we show that the error function E-m,E-n has a particular symmetry property, that is E-m,E-n(f; x; q) = E-m,E-n(f; 1 - x, 1/q) provided that f is symmetric on [0, 1]. (C) 2012 Elsevier Ltd. All rights reserved.", 
  "author": [
    {
      "family": "Budakci", 
      "given": " Gulter"
    }, 
    {
      "family": "Oruc", 
      "given": " Halil"
    }
  ], 
  "container_title": "MATHEMATICAL AND COMPUTER MODELLING", 
  "id": "86323", 
  "issue": "3-4", 
  "issued": {
    "date-parts": [
      [
        2012, 
        1, 
        1
      ]
    ]
  }, 
  "page": "56-59", 
  "title": "Bernstein-Schoenberg operator with knots at the q-integers", 
  "type": "article-journal", 
  "volume": "56"
}