二元广义Baskakov算子的加权逼近  

The Weighted Approximation by Bivariate Generalized Baskakov Operators

作　　者：高义[1] 黄永东[1] 

机构地区：[1]北方民族大学信息与计算科学学院,宁夏银川750021

出　　处：《宁夏大学学报（自然科学版）》2011年第2期101-104,共4页Journal of Ningxia University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10961001);北方民族大学科学研究基金资助项目

摘　　要：讨论了一种二元广义Baskakov算子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逼近度估计以及Vonorovskya型的渐近展式.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算子逼近度的结果,即给出更加精细的特征刻画.In this paper,the convergence on weighted space of polynomials by bivariate generalized Baskakov operators is discussed.The estimation of degree of weighted approximation and the Vonorovskya-type asymptotic behavior on weighted space are obtained.The results are extensive and the former results about degree of approximation by generalized Baskakov operators are improved precisely.

关 键 词：BASKAKOV算子 加权逼近 收敛 

分 类 号：O174.41[理学—数学]