Approximation by Kantorovich Type q-Bernstein-Stancu Operators
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- 作者：M. Mursaleen ; Khursheed J. Ansari ; Asif Khan
- 关键词：q ; Bernstein ; Stancu operators ; Rate of convergence ; Modulus of continuity ; Voronovskaja type theorem
- 刊名：Complex Analysis and Operator Theory
- 出版年：2017
- 出版时间：January 2017
- 年：2017
- 卷：11
- 期：1
- 页码：85-107
- 全文大小：
- 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics, general; Operator Theory; Analysis;
- 出版者：Springer International Publishing
- ISSN：1661-8262
- 卷排序：11
文摘
In this paper, we introduce a Kantorovich type generalization of q-Bernstein-Stancu operators. We study the convergence of the introduced operators and also obtain the rate of convergence by these operators in terms of the modulus of continuity. Further, we study local approximation property and Voronovskaja type theorem for the said operators. We show comparisons and some illustrative graphics for the convergence of operators to a certain function.