Analytic aspects of Sobolev orthogonal polynomials revisited

A. Martínez-Finkelshtein

doi:10.1016/S0377-0427(00)00499-4

Analytic aspects of Sobolev orthogonal polynomials revisited

A. Martínez-Finkelshtein

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

41 Scopus citations

Abstract

This paper surveys some recent achievements in the analytic theory of polynomials orthogonal with respect to inner products involving derivatives. Asymptotic properties, zero location, approximation and moment theory are some of the topic considered.

Original language	English
Pages (from-to)	255-266
Number of pages	12
Journal	Journal of Computational and Applied Mathematics
Volume	127
Issue number	1-2
DOIs	https://doi.org/10.1016/S0377-0427(00)00499-4
State	Published - 15 Jan 2001
Externally published	Yes

Keywords

Approximation
Asymptotics
Coherent pairs
Moments
Sobolev orthogonal polynomials
Zeros

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/S0377-0427(00)00499-4

Cite this

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title = "Analytic aspects of Sobolev orthogonal polynomials revisited",

abstract = "This paper surveys some recent achievements in the analytic theory of polynomials orthogonal with respect to inner products involving derivatives. Asymptotic properties, zero location, approximation and moment theory are some of the topic considered.",

keywords = "Approximation, Asymptotics, Coherent pairs, Moments, Sobolev orthogonal polynomials, Zeros",

author = "A. Mart{\'i}nez-Finkelshtein",

year = "2001",

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doi = "10.1016/S0377-0427(00)00499-4",

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T1 - Analytic aspects of Sobolev orthogonal polynomials revisited

AU - Martínez-Finkelshtein, A.

PY - 2001/1/15

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AB - This paper surveys some recent achievements in the analytic theory of polynomials orthogonal with respect to inner products involving derivatives. Asymptotic properties, zero location, approximation and moment theory are some of the topic considered.

KW - Approximation

KW - Asymptotics

KW - Coherent pairs

KW - Moments

KW - Sobolev orthogonal polynomials

KW - Zeros

UR - https://www.scopus.com/pages/publications/0035155455

U2 - 10.1016/S0377-0427(00)00499-4

DO - 10.1016/S0377-0427(00)00499-4

M3 - Article

AN - SCOPUS:0035155455

SN - 0377-0427

VL - 127

SP - 255

EP - 266

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 1-2

ER -

Analytic aspects of Sobolev orthogonal polynomials revisited

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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