1 Ocak 2012 Dergi makalesi Açık Erişim

Budakci, Gulter; Oruc, Halil

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{
  "@context": "https://schema.org/", 
  "@id": 86323, 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@type": "Person", 
      "affiliation": "Dokuz Eylul Univ, Grad Sch Nat & Appl Sci, TR-35160 Izmir, Turkey", 
      "name": "Budakci, Gulter"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Dokuz Eylul Univ, Fac Sci, Dept Math, TR-35160 Izmir, Turkey", 
      "name": "Oruc, Halil"
    }
  ], 
  "datePublished": "2012-01-01", 
  "description": "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.", 
  "headline": "Bernstein-Schoenberg operator with knots at the q-integers", 
  "identifier": 86323, 
  "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "name": "Bernstein-Schoenberg operator with knots at the q-integers", 
  "url": "https://aperta.ulakbim.gov.tr/record/86323"
}