在现在的论文,我们发现除他们在近似理论和一些另外的领域的更好的应用程序以外, Bernstein-Durrmeyer 操作符是在构造翻译网络的好工具。在 Bernstein-Durrmeyer 操作员的 de la Vall 茅 e 性质的帮助下,翻译网络操作员的一个序列被构造,它近似的度被发。关键词 Bernstein-Durrmeyer 操作员 - 翻译网络 - 近似 AMS (2000 ) 使分类 41A25 遭到 - P.R.China (10471130 ) 的 NSF 支持的 43A90,和浙江省(Y604003 ) 的 NSF。
In the present paper, we find that the Bernstein-Durrmeyer operators, besides their better applications in approximation theory and some other fields, are good tools in constructing translation network. With the help of the de la Vallée properties of the Bernstein-Durrmeyer operators a sequence of translation network operators is constructed and its degree of approximation is dealt.