Approximation by complex Durrmeyer-Stancu type operators in compact disks

Journal of inequalities and applications

Mei-Ying Ren¹ 

关键词: complex Durrmeyer-Stancu type operators;    Voronovskaja-type result;    exact order of approximation;    simultaneous approximation;    overconvergence;   

DOI  :  10.1186/1029-242X-2013-442

学科分类：数学（综合）

来源: SpringerOpen

【 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. MSC:30E10, 41A25, 41A36.

【 授权许可】

CC BY