CONVERGENCE IN MEASURE OF MULTIVARIATE PADE APPROXIMANTS

被引：0

作者：

Li Jiakai ^{[1
]}

Zhuang Guozhong ^{[1
]}

机构：

[1] Computing Center Chinese Academy of Sciences Beijing 100080 P.R.China

来源：

Approximation Theory and Its Applications | 1993年 / 01期

基金：

美国国家科学基金会;

关键词：

CONVERGENCE IN MEASURE OF MULTIVARIATE PADE APPROXIMANTS; APPI;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Convergence conclusions of Pade approximants in the univariate case can be found in various papers.However,resuhs in the multivariate case are few.A.Cuyt seems to be the only one who discusses convergencefor multivariate Pade approximants,she gives in[2]a de Montessus de Bollore type theorem.In this paper,wewill discuss the zero set of a real multivariate polynomial,and present a convergence theorem in measure ofmultivariate Pade approximant.The proof technique used in this paper is quite different from that used in theunivariate case.

引用

页码：99 / 106

页数：8