文献类型：期刊文章

作　　者：赵易[1] 周颂平[2]

机构地区：[1]宁波大学数学研究所,浙江宁波315211 [2]浙江大学数学系,浙江杭州310028

出　　处：《Journal of Mathematical Research and Exposition》

基　　金：Supported in part by National and Provincial Natural Science Foundations(under grant numbers 10141001 and 101009);by Ningbo Key Doctoral Funds.

年　　份：2003

卷　　号：23

期　　号：1

起止页码：65-70

语　　种：中文

收录情况：AJ、BDHX、BDHX2000、CSCD、CSCD2011_2012、ZMATH、核心刊

摘　　要：The present paper constructs a set of nodes which can generate a rationalinterpolating function to approximate |x|at the rate of O(1/(nk log n))for any givennatural number κ.More importantly.this construction reveals the fact that the higherdensity the distribution of a set of nodes has to zero (that is the singular point of thefunction |x|!),the better the rational interpolation approximation behaves.This probablyalso provides an idea to construct more valuable sets of nodes in the future.

关 键 词：rational approximation  INTERPOLATION nodes.  

分 类 号：O174.43[数学类]