Rate of convergence of two-point Padé approximants and logarithmic asymptotics of Laurent-type orthogonal polynomials

G. López Lagomasino; A. Martínez Finkelshtein

doi:10.1007/BF01203418

Rate of convergence of two-point Padé approximants and logarithmic asymptotics of Laurent-type orthogonal polynomials

G. López Lagomasino
, A. Martínez Finkelshtein

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

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 Padé approximants for the corresponding class of Stieltjes-type meromorphic functions.

Original language	English
Pages (from-to)	255-286
Number of pages	32
Journal	Constructive Approximation
Volume	11
Issue number	2
DOIs	https://doi.org/10.1007/BF01203418
State	Published - 1 Jun 1995
Externally published	Yes

Keywords

AMS classification: Primary 41A21, 41A25, 42CO5, Secondary, 30E10, 31A99
Christoffel function
Laurent-type orthogonal polynomials
Logarithmic asymptotics
Padé approximants
Potential theory
Stieltjes-type meromorphic functions

ASJC Scopus subject areas

Analysis
General Mathematics
Computational Mathematics

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10.1007/BF01203418

Cite this

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title = "Rate of convergence of two-point Pad{\'e} approximants and logarithmic asymptotics of Laurent-type orthogonal polynomials",

abstract = "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 Pad{\'e} approximants for the corresponding class of Stieltjes-type meromorphic functions.",

keywords = "AMS classification: Primary 41A21, 41A25, 42CO5, Secondary, 30E10, 31A99, Christoffel function, Laurent-type orthogonal polynomials, Logarithmic asymptotics, Pad{\'e} approximants, Potential theory, Stieltjes-type meromorphic functions",

author = "Lagomasino, \{G. L{\'o}pez\} and Finkelshtein, \{A. Mart{\'i}nez\}",

year = "1995",

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doi = "10.1007/BF01203418",

language = "English",

volume = "11",

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T1 - Rate of convergence of two-point Padé approximants and logarithmic asymptotics of Laurent-type orthogonal polynomials

AU - Lagomasino, G. López

AU - Finkelshtein, A. Martínez

PY - 1995/6/1

Y1 - 1995/6/1

N2 - 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 Padé approximants for the corresponding class of Stieltjes-type meromorphic functions.

AB - 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 Padé approximants for the corresponding class of Stieltjes-type meromorphic functions.

KW - AMS classification: Primary 41A21, 41A25, 42CO5, Secondary, 30E10, 31A99

KW - Christoffel function

KW - Laurent-type orthogonal polynomials

KW - Logarithmic asymptotics

KW - Padé approximants

KW - Potential theory

KW - Stieltjes-type meromorphic functions

UR - https://www.scopus.com/pages/publications/21844496559

U2 - 10.1007/BF01203418

DO - 10.1007/BF01203418

M3 - Article

AN - SCOPUS:21844496559

SN - 0176-4276

VL - 11

SP - 255

EP - 286

JO - Constructive Approximation

JF - Constructive Approximation

IS - 2

ER -

Rate of convergence of two-point Padé approximants and logarithmic asymptotics of Laurent-type orthogonal polynomials

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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