Szegö polynomials: quadrature rules on the unit circle and on [-1, 1]

Detalhes bibliográficos
Autor(a) principal: Bressan, R. [UNESP]
Data de Publicação: 2003
Outros Autores: Menegasso, S. F. [UNESP], Sri Ranga, A. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://projecteuclid.org/euclid.rmjm/1181069967
http://hdl.handle.net/11449/130458
Resumo: We consider some of the relations that exist between real Szegö polynomials and certain para-orthogonal polynomials defined on the unit circle, which are again related to certain orthogonal polynomials on [-1, 1] through the transformation x = (z1/2+z1/2)/2. Using these relations we study the interpolatory quadrature rule based on the zeros of polynomials which are linear combinations of the orthogonal polynomials on [-1, 1]. In the case of any symmetric quadrature rule on [-1, 1], its associated quadrature rule on the unit circle is also given.
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spelling Szegö polynomials: quadrature rules on the unit circle and on [-1, 1]We consider some of the relations that exist between real Szegö polynomials and certain para-orthogonal polynomials defined on the unit circle, which are again related to certain orthogonal polynomials on [-1, 1] through the transformation x = (z1/2+z1/2)/2. Using these relations we study the interpolatory quadrature rule based on the zeros of polynomials which are linear combinations of the orthogonal polynomials on [-1, 1]. In the case of any symmetric quadrature rule on [-1, 1], its associated quadrature rule on the unit circle is also given.Univ Estadual Paulista, IBILCE, Dept Ciências Computacao & Estatist, BR-15054000 Sao Jose do Rio Preto, SP, BrazilUniv Estadual Paulista, IBILCE, Dept Ciências Computacao & Estatist, BR-15054000 Sao Jose do Rio Preto, SP, BrazilRocky Mt Math ConsortiumUniversidade Estadual Paulista (Unesp)Bressan, R. [UNESP]Menegasso, S. F. [UNESP]Sri Ranga, A. [UNESP]2014-05-27T11:20:40Z2014-05-27T11:20:40Z2003-06-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article567-584application/pdfhttp://projecteuclid.org/euclid.rmjm/1181069967Rocky Mountain Journal of Mathematics, v. 33, n. 2, p. 567-584, 2003.0035-7596http://hdl.handle.net/11449/13045810.1216/rmjm/1181069967WOS:0001860616000092-s2.0-02425077832-s2.0-0242507783.pdf3587123309745610Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengRocky Mountain Journal of Mathematics0.3300,398info:eu-repo/semantics/openAccess2023-11-18T06:17:13Zoai:repositorio.unesp.br:11449/130458Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T18:05:58.953521Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Szegö polynomials: quadrature rules on the unit circle and on [-1, 1]
title Szegö polynomials: quadrature rules on the unit circle and on [-1, 1]
spellingShingle Szegö polynomials: quadrature rules on the unit circle and on [-1, 1]
Bressan, R. [UNESP]
title_short Szegö polynomials: quadrature rules on the unit circle and on [-1, 1]
title_full Szegö polynomials: quadrature rules on the unit circle and on [-1, 1]
title_fullStr Szegö polynomials: quadrature rules on the unit circle and on [-1, 1]
title_full_unstemmed Szegö polynomials: quadrature rules on the unit circle and on [-1, 1]
title_sort Szegö polynomials: quadrature rules on the unit circle and on [-1, 1]
author Bressan, R. [UNESP]
author_facet Bressan, R. [UNESP]
Menegasso, S. F. [UNESP]
Sri Ranga, A. [UNESP]
author_role author
author2 Menegasso, S. F. [UNESP]
Sri Ranga, A. [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Bressan, R. [UNESP]
Menegasso, S. F. [UNESP]
Sri Ranga, A. [UNESP]
description We consider some of the relations that exist between real Szegö polynomials and certain para-orthogonal polynomials defined on the unit circle, which are again related to certain orthogonal polynomials on [-1, 1] through the transformation x = (z1/2+z1/2)/2. Using these relations we study the interpolatory quadrature rule based on the zeros of polynomials which are linear combinations of the orthogonal polynomials on [-1, 1]. In the case of any symmetric quadrature rule on [-1, 1], its associated quadrature rule on the unit circle is also given.
publishDate 2003
dc.date.none.fl_str_mv 2003-06-01
2014-05-27T11:20:40Z
2014-05-27T11:20:40Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://projecteuclid.org/euclid.rmjm/1181069967
Rocky Mountain Journal of Mathematics, v. 33, n. 2, p. 567-584, 2003.
0035-7596
http://hdl.handle.net/11449/130458
10.1216/rmjm/1181069967
WOS:000186061600009
2-s2.0-0242507783
2-s2.0-0242507783.pdf
3587123309745610
url http://projecteuclid.org/euclid.rmjm/1181069967
http://hdl.handle.net/11449/130458
identifier_str_mv Rocky Mountain Journal of Mathematics, v. 33, n. 2, p. 567-584, 2003.
0035-7596
10.1216/rmjm/1181069967
WOS:000186061600009
2-s2.0-0242507783
2-s2.0-0242507783.pdf
3587123309745610
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Rocky Mountain Journal of Mathematics
0.330
0,398
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 567-584
application/pdf
dc.publisher.none.fl_str_mv Rocky Mt Math Consortium
publisher.none.fl_str_mv Rocky Mt Math Consortium
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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