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Title: Statistical approximation of Meyer-Konig and Zeller operators based on q-integers
Authors: Doğru, O.
Duman, O.
Keywords: A-statistical convergence
positive linear operators
the Bollman-Korovkin type theorem
modulus of continuity
Lipschitz type maximal function
Issue Date: 2006
Publisher: Kossuth Lajos Tudomanyegyetem
Abstract: In this paper, we introduce a generalization of the Meyer-Konig and Zeller operators based on q-integers and get a Bohman-Korovkin type approximation theorem of these operators via A-statistical convergence. We also compute rate of A-statistical convergence of these q-type operators by means of the modulus of continuity and Lipschitz type maximal function, respectively. The second purpose of this note is to obtain explicit formulas for the monomials (t/1-t)(v), v = 0, 1; 2 of q-type generalization of Meyer-Konig and Zeller operators.
ISSN: 0033-3883
Appears in Collections:Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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