Copy For Citation
Kadak U., Khan A., Mursaleen M.
Filomat, vol.35, no.11, pp.3767-3779, 2021 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
35
Issue:
11
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Publication Date:
2021
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Doi Number:
10.2298/fil2111767k
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Journal Name:
Filomat
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
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Page Numbers:
pp.3767-3779
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Keywords:
p, q)-integers, statistical convergence, Korovkin type approximation theorem, linear positive operators, rate of convergence, WEIGHTED STATISTICAL CONVERGENCE, LUPAS Q-ANALOG, BEZIER CURVES, DIFFERENCE OPERATOR, BERNSTEIN, THEOREMS, SUMMABILITY, KONIG
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Gazi University Affiliated:
Yes
Abstract
© 2021, University of Nis. All rights reserved.In this paper, a generalization of the q-Meyer-König and Zeller operators by means of the (p, q)-calculus is introduced. Some approximation results for (p, q)-analogue of Meyer-König and Zeller operators denoted by Mn,p,q for 0 < q < p ≤ 1 are obtained. Also we investigate classical and statistical versions of Korovkin type approximation results based on proposed operator. Furthermore, some graphical examples for convergence of the operators are presented.