Approximation properties of weighted Kantorovich type operators in compact disks
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- 作者：Nazim I Mahmudov (1)
Mustafa Kara (1)
1. Eastern Mediterranean University ; Mersin 10 ; Gazimagusa ; TRNC ; Turkey - 关键词：weighted Bernstein ; Kantorovich operators ; Bernstein ; Kantorovich operator ; complex approximation
- 刊名：Journal of Inequalities and Applications
- 出版年：2015
- 出版时间：December 2015
- 年：2015
- 卷：2015
- 期：1
- 全文大小：936 KB
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- 出版者：Springer International Publishing
- ISSN：1029-242X
文摘
In this paper, we discuss the approximation properties of the complex weighted Kantorovich type operators. Quantitative estimates of the convergence, the Voronovskaja type theorem, and saturation of convergence for complex weighted Kantorovich polynomials attached to analytic functions in compact disks will be given. In particular, we show that for functions analytic in \(\{ z\in C:\vert z\vert , the rate of approximation by the weighted complex Kantorovich type operators is \(1/n\) .