A direct approach to convergence of multivariate, nonhomogeneous, Pade approximants

被引：10

作者：

Cuyt, A

Driver, KA

Lubinsky, DS

机构：

[1] UNIV ANTWERP, DEPT MATH, B-2610 WILRIJK, BELGIUM

[2] UNIV WITWATERSRAND, DEPT MATH, WITWATERSRAND 2050, SOUTH AFRICA

[3] NFWO, BRUSSELS, BELGIUM

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1996年 / 69卷 / 02期

关键词：

multivariate Pade approximants; nonhomogeneous approximants; Nuttall-Pommerenke theorems;

D O I：

10.1016/0377-0427(95)00044-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a direct approach for proving convergence in measure/product capacity of multivariate, nonhomogeneous, Pade approximants. Previous approaches have involved projection onto Pade-type approximation in one variable, and only yielded convergence in (Lebesgue) measure.

引用

页码：353 / 366

页数：14

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