Approximation by complex Stancu type Durrmeyer operators in compact disks

被引：0
|
作者：
Ren, Mei-Ying [1 ]
Zeng, Xiao-Ming [2 ]
机构：
[1] Wuyi Univ, Dept Math & Comp Sci, Wuyishan 354300, Peoples R China
[2] Xiamen Univ, Dept Math, Xiamen 361005, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2015年 / 18卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Complex Stancu type Durrmeyer operators; Voronovskaja-type result; Exact order of approximation; Simultaneous approximation; Overconvergence; POLYNOMIALS;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper we introduce a class of complex Stancu type Durrmeyer operators and study the approximation properties of these operators. We obtain a Voronovskaja-type result with quantitative estimate for these operators attached to analytic functions on compact disks. We also study the exact order of approximation. More important, our results show the overconvergence phenomenon for these complex operators.
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页码：440 / 453
页数：14
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