First order absolute moment of Meyer-Konig and Zeller operators and their approximation for some absolutely continuous functions

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	First order absolute moment of Meyer-Konig and Zeller operators and their approximation for some absolutely continuous functions
	Zeng, Xiao-Ming ; Ceng XM(曾晓明) ; Cheng, Fuhua ( Frank)
刊名	http://dx.doi.org/10.2478/s12175-011-0033-2
	2011-08
关键词	CONVERGENCE
英文摘要	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]; A sharp estimate is given for the first order absolute moment of Meyer-Konig and Zeller operators M (n) . This estimate is then used to prove convergence of approximation of a class of absolutely continuous functions by the operators M (n) . The condition considered here is weaker than the condition considered in a previous paper and the rate of convergence we obtain is asymptotically the best possible. (C) 2011 Mathematical Institute Slovak Academy of Sciences
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66384]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Zeng, Xiao-Ming,Ceng XM,Cheng, Fuhua . First order absolute moment of Meyer-Konig and Zeller operators and their approximation for some absolutely continuous functions[J]. http://dx.doi.org/10.2478/s12175-011-0033-2,2011.
APA	Zeng, Xiao-Ming,曾晓明,&Cheng, Fuhua .(2011).First order absolute moment of Meyer-Konig and Zeller operators and their approximation for some absolutely continuous functions.http://dx.doi.org/10.2478/s12175-011-0033-2.
MLA	Zeng, Xiao-Ming,et al."First order absolute moment of Meyer-Konig and Zeller operators and their approximation for some absolutely continuous functions".http://dx.doi.org/10.2478/s12175-011-0033-2 (2011).