HERMITE-PADE APPROXIMATION FOR NIKISHIN SYSTEMS OF ANALYTIC-FUNCTIONS

被引：37
作者：
BUSTAMANTE, Z
LAGOMASINO, GL
机构：
来源：
RUSSIAN ACADEMY OF SCIENCES SBORNIK MATHEMATICS | 1994年 / 77卷 / 02期
关键词：
D O I：
10.1070/SM1994v077n02ABEH003446
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Nikishin type systems of analytic functions are considered. For such systems, convergence of the main diagonal of the associated Hermite-Pade approximants is proved, when interpolation is equally distributed between the functions. If interpolation is ''nearly'' equally distributed, then convergence in capacity takes place. Multipoint Pade approximation plays a key role in the proof. Bibliography: 16 titles.
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页码：367 / 384
页数：18
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