|x|~α(0<α<2)在Newman结点组下的渐近性质  

The Asymptotic Property of Approximation to |x|~α(0<α<2) at Newman Nodes

作　　者：王徐炜 胡晓敏[1] 查星星[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）》2017年第2期95-98,共4页Journal of Hangzhou Dianzi University：Natural Sciences

摘　　要：在前人研究的Newman型有理插值函数对|x|逼近效果的基础上,考虑了Newman-α型有理算子在Newman结点组上对|x|~α的逼近效果,并给出了确切的渐近公式.该结果不仅包含了谢庭藩和周颂平的研究结果,而且优于结点组取作等距结点的情形.Based on previous researches about the approximation effect of the Newman rational interpolation function approximating to ｜x｜ , this paper considers the approximation effect of Newman-a type rational operator approximating to ｜x｜, which is based on the Newman nodes. And it gives the precise asymptotic formula, which include the research result of Xie Tingfan and Zhou Songping. What＇s more, it＇s better than which of the nodes taking for the equidistant nodes.

关 键 词：Newman-a型有理算子 Newman结点组 渐近公式 

分 类 号：O174.41[理学—数学]