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Korovkin type Approximation of Abel transforms of q-Meyer-König and Zeller operators | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 11، شماره 2، اسفند 2020، صفحه 339-350 اصل مقاله (166.16 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2019.17520.1944 | ||
| نویسندگان | ||
| Dilek Soylemez1؛ Mehmet Unver* 2 | ||
| 1Department of Mathematics, Faculty of Science, Selcuk University, Selcuklu, 42003 Konya, Turkey | ||
| 2Department of Mathematics, Faculty of Science, Ankara University, Besevler, 06100 Ankara, Turkey | ||
| تاریخ دریافت: 13 فروردین 1398، تاریخ بازنگری: 21 خرداد 1399، تاریخ پذیرش: 21 آبان 1399 | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Meyer-König and Zeller Operators؛ Abel convergence؛ rate of convergence | ||
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