Szegö polynomials: quadrature rules on the unit circle and on [-1, 1]
Autor(a) principal: | |
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Data de Publicação: | 2003 |
Outros Autores: | , |
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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Repositório Institucional da UNESP |
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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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1808128893364731904 |