Para-orthogonal polynomials from constant Verblunsky coefficients
| Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
|---|---|
| Data(s) |
21/10/2015
21/10/2015
15/06/2015
|
| Resumo |
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Processo FAPESP: 2009/13832-9 Orthogonal polynomials on the unit circle associated with constant Verblunsky coefficients are also known as Geronimus polynomials. We consider the properties of some special sequences of para-orthogonal polynomials that follow from the Geronimus polynomials and, as applications, obtain information concerning certain associated quadrature rules and also other related orthogonal polynomials. Positive chain sequences play an important role in our study. (C) 2015 Elsevier Inc. All rights reserved. |
| Formato |
1040-1060 |
| Identificador |
http://www.sciencedirect.com/science/article/pii/S0022247X15001079 Journal Of Mathematical Analysis And Applications. San Diego: Academic Press Inc Elsevier Science, v. 426, n. 2, p. 1040-1060, 2015. 0022-247X http://hdl.handle.net/11449/128866 http://dx.doi.org/10.1016/j.jmaa.2015.02.005 WOS:000351249300028 |
| Idioma(s) |
eng |
| Publicador |
Elsevier B.V. |
| Relação |
Journal Of Mathematical Analysis And Applications |
| Direitos |
closedAccess |
| Palavras-Chave | #Orthogonal polynomials on the unit circle #Constant Verblunsky coefficients #Para-orthogonal polynomials #Positive chain sequences |
| Tipo |
info:eu-repo/semantics/article |
