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推广的Baskakov型算子的加权逼近
引用本文:龚雪芬,胡晓敏.推广的Baskakov型算子的加权逼近[J].杭州电子科技大学学报,2011,31(1):88-90.
作者姓名:龚雪芬  胡晓敏
作者单位:杭州电子科技大学理学院数学研究所,浙江,杭州,310018
摘    要:在研究逼近问题时,Bernstein型算子是很重要的一种工具.Bernstein-Kantorovic算子是Bernstein多项式的积分形式,对于可积空间的逼近研究非常有效.与Bernstein型算子类似,该文主要讨论Baskakov型算子.对于在连续空间上的逼近性质,很多人已经做了大量的研究,并得到了很好的结果.但...

关 键 词:新型算子  可积空间  光滑模  逼近

Weighted Approximation of a Kind of Baskakov Type Operators
GONG Xue-fen,HU Xiao-min.Weighted Approximation of a Kind of Baskakov Type Operators[J].Journal of Hangzhou Dianzi University,2011,31(1):88-90.
Authors:GONG Xue-fen  HU Xiao-min
Affiliation:GONG Xue-fen,HU Xiao-min(School of Science,Hangzhou Dianzi University,Hangzhou Zhejiang 310018,China)
Abstract:The Bernstein operator is a very important tool in discussing the theory of approximation theorem.Bernstein-Kantorovich operator is a kind of Bernstein polynomial integral form.It is very useful to study the approximation problem in integral space.In this paper,we mainly study the Baskakov operator which is similar to the Bernstein operator.After many scholars hard studying,we had got a lot of excellent results in the continuous space.There is not any study result of the theory of Approximation Theorem in t...
Keywords:Baskakov-type  Lp space  moduli of smoothness  approximation  
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