Statistical approximation by a modification of q -Meyer-König and Zeller operators

In this work, we introduce a modification of the q -Meyer-König and Zeller operators, and investigate the Korovkin type statistical approximation properties of this modification via A -statistical convergence. Also we prove that this modification provides a better estimation than the q -MKZ operator...

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Bibliographic Details
Published in:Applied mathematics letters 2010-03, Vol.23 (3), p.261-266
Main Authors: DOGRU, Ogün, ÖRKCÜ, Mediha
Format: Article
Language:English
Subjects:
[formula omitted]-MKZ operators
Exact sciences and technology
Mathematical analysis
Mathematics
MKZ operators
Modulus of continuity
Numerical analysis
Numerical analysis. Scientific computation
Sciences and techniques of general use
The Korovkin type approximation theorem
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Summary:In this work, we introduce a modification of the q -Meyer-König and Zeller operators, and investigate the Korovkin type statistical approximation properties of this modification via A -statistical convergence. Also we prove that this modification provides a better estimation than the q -MKZ operators on the interval [ α n , 1 ) ⊂ [ 1 2 , 1 ) by means of the modulus of continuity.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2009.09.018