Positivity of continued fractions associated with rational Stieltjes moment problems

被引：3

作者：

Bultheel, A ^{[1
]}

González-Vera, P

Hendriksen, E

Njåstad, O

机构：

[1] Katholieke Univ Leuven, Dept Comp Sci, Louvain, Belgium

[2] Univ La Laguna, Dept Math Anal, Tenerife, Spain

[3] Univ Amsterdam, Dept Math, NL-1012 WX Amsterdam, Netherlands

[4] Norwegian Univ Sci & Technol, Dept Math Sci, N-7034 Trondheim, Norway

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2003年 / 33卷 / 02期

关键词：

multi-point Pade approximation; continued fraction; MP-fraction; multi-point Stieltjes moment problem;

D O I：

10.1216/rmjm/1181069969

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The constructive solution of the strong Stieltjes moment problem can be linked with positive Perron-Caratheodory continued fractions (PC-fractions) which are contradictions of positive Thron continued fractions (T-fractions). Their approximants are two-point Pade approximants for a related function. The multi-point moment problem similarly leads to positive multi-point Pade continued fractions (MP-fraction) and positive extended multi-point Pade continued fractions (EMP-fraction) whose approximants are multi-point Pade approximants. These relationships are explored also in the situation where the positivity condition is dropped.

引用

页码：609 / 627

页数：19

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