1 Ocak 2012 Dergi makalesi Açık Erişim

Budakci, Gulter; Oruc, Halil

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        "affiliation": "Dokuz Eylul Univ, Grad Sch Nat & Appl Sci, TR-35160 Izmir, Turkey", 
        "name": "Budakci, Gulter"
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        "affiliation": "Dokuz Eylul Univ, Fac Sci, Dept Math, TR-35160 Izmir, Turkey", 
        "name": "Oruc, Halil"
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    "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.", 
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      "issue": "3-4", 
      "pages": "56-59", 
      "title": "MATHEMATICAL AND COMPUTER MODELLING", 
      "volume": "56"
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    "publication_date": "2012-01-01", 
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    "title": "Bernstein-Schoenberg operator with knots at the q-integers"
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