Title of article
Korovkin type Approximation of Abel transforms of q-Meyer-König and Zeller operators
Author/Authors
Soylemez, Dilek Department of Mathematics - Faculty of Science - Selcuk University, Selcuklu, Turkey , Ünver, Mehmet Department of Mathematics - Faculty of Science - Ankara University, Besevler, Ankara, Turkey
Pages
12
From page
339
To page
350
Abstract
In this paper we investigate some Korovkin type approximation properties of the q-Meyer-König and Zeller operators and Durrmeyer variant of the q-Meyer-König and Zeller operators via Abel summability method which is a sequence-to-function transformation and which extends the ordinary convergence. We show that the approximation results obtained in this paper are more general than some previous results. We also obtain the rate of Abel convergence for the corresponding operators. Finally, we conclude our results with some graphical analysis.
Keywords
Meyer-König and Zeller Operators , Abel convergence , rate of convergence
Journal title
International Journal of Nonlinear Analysis and Applications
Serial Year
2020
Record number
2606436
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