Approximation by complex Durrmeyer-Stancu type operators in compact disks

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	Approximation by complex Durrmeyer-Stancu type operators in compact disks
	Ren, Mei-Ying ; Zeng, Xiao-Ming ; Zeng, Liang ; Ceng XM(曾晓明)
刊名	http://dx.doi.org/10.1186/1029-242X-2013-442
	2013
关键词	POLYNOMIALS
英文摘要	National Natural Science Foundation of China [61170324]; Class A Science and Technology Project of Education Department of Fujian Province of China [JA12324]; Natural Science Foundation of Fujian Province of China [2013J01017]; 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.
语种	英语
出版者	SPRINGER INTERNATIONAL PUBLISHING AG
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91245]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Ren, Mei-Ying,Zeng, Xiao-Ming,Zeng, Liang,et al. Approximation by complex Durrmeyer-Stancu type operators in compact disks[J]. http://dx.doi.org/10.1186/1029-242X-2013-442,2013.
APA	Ren, Mei-Ying,Zeng, Xiao-Ming,Zeng, Liang,&曾晓明.(2013).Approximation by complex Durrmeyer-Stancu type operators in compact disks.http://dx.doi.org/10.1186/1029-242X-2013-442.
MLA	Ren, Mei-Ying,et al."Approximation by complex Durrmeyer-Stancu type operators in compact disks".http://dx.doi.org/10.1186/1029-242X-2013-442 (2013).