二元广义Baskakov算子在多项式加权空间上的逼近  

The Approximation by a Kind of Generalized Baskakov Operators of Two Variables on Weighted Space of Polynomials

作　　者：高义[1] 

机构地区：[1]北方民族大学信息与计算科学学院,银川750021

出　　处：《河南师范大学学报（自然科学版）》2011年第5期6-9,共4页Journal of Henan Normal University(Natural Science Edition)

基　　金：国家自然科学基金(10961001)

摘　　要：讨论了一种二元广义Baskakov算子及其偏导数在多项式加权空间上的收敛性,给出该算子在加权意义下的点态逼近度估计和Voronovskaya型渐近展式以及偏导数在该空间上的收敛性.得到的结果更加广泛,此结果同时改进了已有的关于广义Baskakov算子逼近度的定理,即给出更加精细的特征刻画.The convergence on weighted space of polynomials by a kind of generalized Baskakov operators of two-variable and their partial derivatives is discussed.The estimation of degree of weighted approximation and the Voronovskaya-type asymptotic behavior and properties of their derivatives on weighted space are obtained.The results are extensive which improve precisely the former results about degree of approximation by generalized Baskakov operators.

关 键 词：BASKAKOV算子 加权逼近 逼近度 收敛 

分 类 号：O174.41[理学—数学]