On modified Dunkl generalization of Szász operators via q-calculus
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- 作者：M Mursaleen ; Md Nasiruzzaman ; Abdullah Alotaibi
- 关键词：q ; integers ; Dunkl analogue ; Szász operator ; q ; Szász ; Mirakjan ; Kantorovich ; modulus of continuity ; Peetre’s K ; functional
- 刊名：Journal of Inequalities and Applications
- 出版年：2017
- 出版时间：December 2017
- 年：2017
- 卷：2017
- 期：1
- 全文大小：1481KB
- 刊物主题：Analysis; Applications of Mathematics; Mathematics, general;
- 出版者：Springer International Publishing
- ISSN：1029-242X
- 卷排序：2017
文摘
The purpose of this paper is to introduce a modification of q-Dunkl generalization of exponential functions. These types of operators enable better error estimation on the interval \([\frac{1}{2},\infty)\) than the classical ones. We obtain some approximation results via a well-known Korovkin-type theorem and a weighted Korovkin-type theorem. Further, we obtain the rate of convergence of the operators for functions belonging to the Lipschitz class.