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.
Soylemez,D and Unver,M . (2020). Korovkin type Approximation of Abel transforms of q-Meyer-König and Zeller operators. International Journal of Nonlinear Analysis and Applications, 11(2), 339-350. doi: 10.22075/ijnaa.2019.17520.1944
MLA
Soylemez,D , and Unver,M . "Korovkin type Approximation of Abel transforms of q-Meyer-König and Zeller operators", International Journal of Nonlinear Analysis and Applications, 11, 2, 2020, 339-350. doi: 10.22075/ijnaa.2019.17520.1944
HARVARD
Soylemez D, Unver M. (2020). 'Korovkin type Approximation of Abel transforms of q-Meyer-König and Zeller operators', International Journal of Nonlinear Analysis and Applications, 11(2), pp. 339-350. doi: 10.22075/ijnaa.2019.17520.1944
CHICAGO
D Soylemez and M Unver, "Korovkin type Approximation of Abel transforms of q-Meyer-König and Zeller operators," International Journal of Nonlinear Analysis and Applications, 11 2 (2020): 339-350, doi: 10.22075/ijnaa.2019.17520.1944
VANCOUVER
Soylemez D, Unver M. Korovkin type Approximation of Abel transforms of q-Meyer-König and Zeller operators. IJNAA. 2020;11(2):339-350. doi: 10.22075/ijnaa.2019.17520.1944
International Journal of Nonlinear Analysis and Applications