Korovkin type Approximation of Abel transforms of q-Meyer-König and Zeller operators

Document Type: Research Paper

Authors

1 Ankara University, Elmadag Vocational School, Department of Computer Program- ming

2 Ankara University, Faculty of Science, Department of Mathematics

10.22075/ijnaa.2019.17520.1944

Abstract

In this paper we investigate some Korovkin type approximation properties of the
$q$-Meyer-K\"{o}nig and Zeller operators and Durrmeyer variant of \ the
$q$-Meyer-K\"{o}nig 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