Publicação: A class of orthogonal functions given by a three term recurrence formula
dc.contributor.author | Bracciali, C. F. [UNESP] | |
dc.contributor.author | McCabe, J. H. | |
dc.contributor.author | Pérez, T. E. | |
dc.contributor.author | Sri Ranga, A. | |
dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
dc.contributor.institution | University of St. Andrews | |
dc.contributor.institution | Universidad de Granada | |
dc.date.accessioned | 2018-12-11T17:01:58Z | |
dc.date.available | 2018-12-11T17:01:58Z | |
dc.date.issued | 2016-01-01 | |
dc.description.abstract | We present a class of functions satisfying a certain orthogonality property for which there also exists a three term recurrence formula. This class of functions, which can be considered as an extension to the class of symmetric orthogonal polynomials on [-1, 1], has a complete connection to the orthogonal polynomials on the unit circle. Interpolatory properties, quadrature rules and other properties based on the zeros of these functions are also considered. | en |
dc.description.affiliation | Departamento de Matemática Aplicada IBILCE UNESP - Universidade Estadual Paulista | |
dc.description.affiliation | Department of Applied Mathematics School of Mathematics University of St. Andrews | |
dc.description.affiliation | Departamento de Matemática Aplicada Universidad de Granada | |
dc.description.affiliationUnesp | Departamento de Matemática Aplicada IBILCE UNESP - Universidade Estadual Paulista | |
dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
dc.description.sponsorshipId | FAPESP: 2009/13832-9 | |
dc.format.extent | 1837-1859 | |
dc.identifier | http://dx.doi.org/10.1090/mcom3041 | |
dc.identifier.citation | Mathematics of Computation, v. 85, n. 300, p. 1837-1859, 2016. | |
dc.identifier.doi | 10.1090/mcom3041 | |
dc.identifier.file | 2-s2.0-84961798887.pdf | |
dc.identifier.issn | 0025-5718 | |
dc.identifier.lattes | 8300322452622467 | |
dc.identifier.orcid | 0000-0002-6823-4204 | |
dc.identifier.scopus | 2-s2.0-84961798887 | |
dc.identifier.uri | http://hdl.handle.net/11449/172737 | |
dc.language.iso | eng | |
dc.relation.ispartof | Mathematics of Computation | |
dc.relation.ispartofsjr | 1,939 | |
dc.rights.accessRights | Acesso aberto | |
dc.source | Scopus | |
dc.subject | Orthogonal functions | |
dc.subject | Orthogonal polynomials on the unit circle | |
dc.subject | Quadrature rules | |
dc.subject | Self-inversive polynomials | |
dc.subject | Three term recurrence | |
dc.title | A class of orthogonal functions given by a three term recurrence formula | en |
dc.type | Artigo | |
dspace.entity.type | Publication | |
unesp.author.lattes | 8300322452622467[1] | |
unesp.author.orcid | 0000-0002-6823-4204[1] | |
unesp.campus | Universidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Preto | pt |
unesp.department | Matemática Aplicada - IBILCE | pt |
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