Approximation with bernstein-szegö polynomials

Volker Hösel; Rupert Lasser

doi:10.1080/01630560600686181

Approximation with bernstein-szegö polynomials

Volker Hösel
, Rupert Lasser

Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

1 Zitat (Scopus)

Abstract

We present approximation kernels for orthogonal expansions with respect to Bernstein-Szegö polynomials. The construction is derived from known results for Chebyshev polynomials of the first kind and does not pose any restrictions on the Bernstein-Szegö polynomials.

Originalsprache	Englisch
Seiten (von - bis)	377-389
Seitenumfang	13
Fachzeitschrift	Numerical Functional Analysis and Optimization
Jahrgang	27
Ausgabenummer	3-4
DOIs	https://doi.org/10.1080/01630560600686181
Publikationsstatus	Veröffentlicht - 1 Aug. 2006
Extern publiziert	Ja

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title = "Approximation with bernstein-szeg{\"o} polynomials",

abstract = "We present approximation kernels for orthogonal expansions with respect to Bernstein-Szeg{\"o} polynomials. The construction is derived from known results for Chebyshev polynomials of the first kind and does not pose any restrictions on the Bernstein-Szeg{\"o} polynomials.",

keywords = "Approximation kernels, Orthogonal polynomials",

author = "Volker H{\"o}sel and Rupert Lasser",

year = "2006",

month = aug,

day = "1",

doi = "10.1080/01630560600686181",

language = "English",

volume = "27",

pages = "377--389",

journal = "Numerical Functional Analysis and Optimization",

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T1 - Approximation with bernstein-szegö polynomials

AU - Hösel, Volker

AU - Lasser, Rupert

PY - 2006/8/1

Y1 - 2006/8/1

N2 - We present approximation kernels for orthogonal expansions with respect to Bernstein-Szegö polynomials. The construction is derived from known results for Chebyshev polynomials of the first kind and does not pose any restrictions on the Bernstein-Szegö polynomials.

AB - We present approximation kernels for orthogonal expansions with respect to Bernstein-Szegö polynomials. The construction is derived from known results for Chebyshev polynomials of the first kind and does not pose any restrictions on the Bernstein-Szegö polynomials.

KW - Approximation kernels

KW - Orthogonal polynomials

UR - https://www.scopus.com/pages/publications/77956206051

U2 - 10.1080/01630560600686181

DO - 10.1080/01630560600686181

M3 - Article

AN - SCOPUS:77956206051

SN - 0163-0563

VL - 27

SP - 377

EP - 389

JO - Numerical Functional Analysis and Optimization

JF - Numerical Functional Analysis and Optimization

IS - 3-4

ER -

Approximation with bernstein-szegö polynomials

Abstract

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