RATE OF CONVERGENCE OF 2-POINT PADE APPROXIMANTS AND LOGARITHMIC ASYMPTOTICS OF LAURENT-TYPE ORTHOGONAL POLYNOMIALS

被引：20

作者：

LAGOMASINO, GL

FINKELSHTEIN, AM

机构：

[1] Departmento de Teoría de Functions Facultad de Matemática y Computación, Universidad de la Habana

[2] Departmento de Teoría de Functiones Facultad de Matemática y Computación, Universidad de la Habana

来源：

CONSTRUCTIVE APPROXIMATION | 1995年 / 11卷 / 02期

关键词：

PADE APPROXIMANTS; LAURENT-TYPE ORTHOGONAL POLYNOMIALS; STIELTJES-TYPE MEROMORPHIC FUNCTIONS; LOGARITHMIC ASYMPTOTICS; CHRISTOFFEL FUNCTION; POTENTIAL THEORY;

D O I：

10.1007/BF01203418

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The logarithmic asymptotics of Laurent-type orthogonal polynomials is obtained for a wide class of weights. This is used to estimate the exact rate of convergence of two-point Pade approximants for the corresponding class of Stieltjes-type meromorphic functions.

引用

页码：255 / 286

页数：32

共 41 条

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JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 179 (1-2) : 195 - 213
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