Strong asymptotics for Sobolev orthogonal polynomials

Andrei Martínez Finkelshtein; Héctor Pijeira Cabrera

doi:10.1007/BF02791131

Strong asymptotics for Sobolev orthogonal polynomials

Andrei Martínez Finkelshtein
, Héctor Pijeira Cabrera

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

7 Scopus citations

Abstract

In this paper we obtain the strong asymptotics for the sequence of orthogonal polynomials with respect to the inner product 〈f,g〉 = ∑_k=0^m∫_Δk f^(k)(x)g^(k)(x)dμ_k(x) where {μ_k}_k=0^m, m ∈ ℤ₊, are measures supported on [-1, 1] which satisfy Szegö's condition.

Original language	English
Pages (from-to)	143-156
Number of pages	14
Journal	Journal d'Analyse Mathematique
Volume	78
DOIs	https://doi.org/10.1007/BF02791131
State	Published - 1 Jan 1999
Externally published	Yes

ASJC Scopus subject areas

Analysis
General Mathematics

Access to Document

10.1007/BF02791131

Cite this

@article{a6219cb401cf4552ad0a46626262ef16,

title = "Strong asymptotics for Sobolev orthogonal polynomials",

abstract = "In this paper we obtain the strong asymptotics for the sequence of orthogonal polynomials with respect to the inner product 〈f,g〉 = ∑k=0m∫Δk f(k)(x)g(k)(x)dμk(x) where \{μk\}k=0m, m ∈ ℤ+, are measures supported on [-1, 1] which satisfy Szeg{\"o}'s condition.",

author = "Finkelshtein, \{Andrei Mart{\'i}nez\} and Cabrera, \{H{\'e}ctor Pijeira\}",

year = "1999",

month = jan,

day = "1",

doi = "10.1007/BF02791131",

language = "English",

volume = "78",

pages = "143--156",

journal = "Journal d'Analyse Mathematique",

issn = "0021-7670",

publisher = "Springer New York",

}

TY - JOUR

T1 - Strong asymptotics for Sobolev orthogonal polynomials

AU - Finkelshtein, Andrei Martínez

AU - Cabrera, Héctor Pijeira

PY - 1999/1/1

Y1 - 1999/1/1

N2 - In this paper we obtain the strong asymptotics for the sequence of orthogonal polynomials with respect to the inner product 〈f,g〉 = ∑k=0m∫Δk f(k)(x)g(k)(x)dμk(x) where {μk}k=0m, m ∈ ℤ+, are measures supported on [-1, 1] which satisfy Szegö's condition.

AB - In this paper we obtain the strong asymptotics for the sequence of orthogonal polynomials with respect to the inner product 〈f,g〉 = ∑k=0m∫Δk f(k)(x)g(k)(x)dμk(x) where {μk}k=0m, m ∈ ℤ+, are measures supported on [-1, 1] which satisfy Szegö's condition.

UR - https://www.scopus.com/pages/publications/0039446460

U2 - 10.1007/BF02791131

DO - 10.1007/BF02791131

M3 - Article

AN - SCOPUS:0039446460

SN - 0021-7670

VL - 78

SP - 143

EP - 156

JO - Journal d'Analyse Mathematique

JF - Journal d'Analyse Mathematique

ER -

Strong asymptotics for Sobolev orthogonal polynomials

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this