奇性函数的加权Baskakov算子逼近  

Weighted Approximation of Functions with Singularity by Baskakov Operators

作　　者：于蛟[1] 赵易[1] 高珊珊[1] 

机构地区：[1]杭州电子科技大学数学研究所,浙江杭州310018

出　　处：《杭州电子科技大学学报（自然科学版）》2013年第1期84-87,共4页Journal of Hangzhou Dianzi University：Natural Sciences

基　　金：浙江省大学生创新创业孵化资助项目(R407053)

摘　　要：逼近论是现代数学的重要分支,在许多领域都有应用。算子逼近是逼近论中的重要组成部分,Baskakov算子于20世纪50年代被提出,之后国内外许多学者都对其进行过研究。该文考虑Baskakov算子对在零点处具有奇性的函数的加权逼近,并对其逼近阶给出估计。Approximation theory is an important branch of modem mathematics, and it has many applications in many fields. Mean while the operator approximations are important part in approximation theory. Some works has been done by scholars since Baskakov operator was presented in 1950s. In this paper, it considers the weighted approximation to functions with singularity at zero by Baskakov operator, and gives the order of approximation.

关 键 词：逼近阶 巴斯卡科夫算子 光滑模 开-泛函 

分 类 号：O714.41[理学—晶体学]