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|Title:||Statistical approximation of Meyer-Konig and Zeller operators based on q-integers||Authors:||Doğru, O.
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.||URI:||https://hdl.handle.net/20.500.11851/7508||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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