On the rates of approximation of Bernstein type operators

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	On the rates of approximation of Bernstein type operators
	Zeng, X. M. ; Cheng, F. F. ; Ceng XM(曾晓明)
刊名	http://dx.doi.org/10.1006/jath.2000.3538
	2001-04
关键词	BOUNDED VARIATION CONVERGENCE POLYNOMIALS
英文摘要	Asymptotic behavior of two Bernstein-type operators is studied in this paper. In the first case, the rate of convergence of a Bcrnstein operator for a bounded function f is studied at points x where f(x + ) and f( x-) exist. In the second case, the rate of convergence of a Szasz operator for a function f whose derivative is of bounded variation is studied at points x where f(x+) and f(x-) exist. Estimates of the rate of convergence are obtained For both cases and the estimates are the best possible for continuous points. (C) 2001 Academic Press.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66399]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Zeng, X. M.,Cheng, F. F.,Ceng XM. On the rates of approximation of Bernstein type operators[J]. http://dx.doi.org/10.1006/jath.2000.3538,2001.
APA	Zeng, X. M.,Cheng, F. F.,&曾晓明.(2001).On the rates of approximation of Bernstein type operators.http://dx.doi.org/10.1006/jath.2000.3538.
MLA	Zeng, X. M.,et al."On the rates of approximation of Bernstein type operators".http://dx.doi.org/10.1006/jath.2000.3538 (2001).