Para-orthogonal polynomials from constant Verblunsky coefficients

Costa, M. S.; Lamblem, R. L.; McCabe, J. H.; Ranga, A. Sri

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/128866

Title:

Para-orthogonal polynomials from constant Verblunsky coefficients

Author(s):

Institution:

Universidade Federal de Uberlândia (UFU)
Universidade Estadual de Mato Grosso Sul (UEMS)
Univ St Andrews
Universidade Estadual Paulista (UNESP)

ISSN:

0022-247X

Sponsorship:

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)

Sponsorship Process Number:

CNPq: 475502/2013-2
FAPESP: 2009/13832-9

Abstract:

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.

Issue Date:

15-Jun-2015

Citation:

Journal Of Mathematical Analysis And Applications. San Diego: Academic Press Inc Elsevier Science, v. 426, n. 2, p. 1040-1060, 2015.

Time Duration:

1040-1060

Publisher:

Elsevier B.V.

Keywords:

Orthogonal polynomials on the unit circle
Constant Verblunsky coefficients
Para-orthogonal polynomials
Positive chain sequences

Source:

http://www.sciencedirect.com/science/article/pii/S0022247X15001079

URI:

Access Rights:

Acesso restrito

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/128866

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