Statistical approximation properties of the Durrmeyer type q-Bleimann, Butzer, and Hahn operators

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	Statistical approximation properties of the Durrmeyer type q-Bleimann, Butzer, and Hahn operators
	Cai, Qing-Bo ; Zeng, Xiao-Ming ; Ceng XM(曾晓明)
刊名	http://dx.doi.org/10.1002/mma.1520
	2012-01-15
关键词	CONVERGENCE
英文摘要	National Natural Science Foundation of China; Natural Science Foundation of Fujian Province of China [2010J01012]; National Defense Basic Scientific Research Program of China [B1420110155]; Science and Technology Foundation of Xiamen City of China [20083012]; In this paper, we introduce a Durrmeyer-type generalization of q-Bleimann, Butzer, and Hahn operators based on q-integers and obtain statistical approximation properties of these operators with the help of the Korovkin type statistical approximation theorem. We also compute rates of statistical convergence of these q-type operators by means of the modulus of continuity and Lipschitz-type maximal function, respectively. Copyright (C) 2011 John Wiley & Sons, Ltd.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66381]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Cai, Qing-Bo,Zeng, Xiao-Ming,Ceng XM. Statistical approximation properties of the Durrmeyer type q-Bleimann, Butzer, and Hahn operators[J]. http://dx.doi.org/10.1002/mma.1520,2012.
APA	Cai, Qing-Bo,Zeng, Xiao-Ming,&曾晓明.(2012).Statistical approximation properties of the Durrmeyer type q-Bleimann, Butzer, and Hahn operators.http://dx.doi.org/10.1002/mma.1520.
MLA	Cai, Qing-Bo,et al."Statistical approximation properties of the Durrmeyer type q-Bleimann, Butzer, and Hahn operators".http://dx.doi.org/10.1002/mma.1520 (2012).