Zeros of Jacobi-Sobolev orthogonal polynomials following non-coherent pair of measures

de Andrade, Eliana X.L.; Bracciali, Cleonice Fátima; de Mello, Mirela V.; Pérez, Teresa E.

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/72223

Title:

Zeros of Jacobi-Sobolev orthogonal polynomials following non-coherent pair of measures

Author(s):

Institution:

Universidade Estadual Paulista (UNESP)
Universidad de Granada

ISSN:

0101-8205
1807-0302

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)
Ministerio de Ciência e Innovacion (Micinn) of Spain
European Regional Development Fund (ERDF)
Junta de Andalucia

Sponsorship Process Number:

European Regional Development Fund: MTM-2008-06689-C02-02
Junta de Andalucia: G.I. FQM 0229

Abstract:

Zeros of orthogonal polynomials associated with two different Sobolev inner products involving the Jacobi measure are studied. In particular, each of these Sobolev inner products involves a pair of closely related Jacobi measures. The measures of the inner products considered are beyond the concept of coherent pairs of measures. Existence, real character, location and interlacing properties for the zeros of these Jacobi-Sobolev orthogonal polynomials are deduced. © 2010 SBMAC.

Issue Date:

14-Dec-2010

Citation:

Computational and Applied Mathematics, v. 29, n. 3, p. 423-445, 2010.

Time Duration:

423-445

Keywords:

Jacobi orthogonal polynomials
Sobolev orthogonal polynomials
Zeros of orthogonal polynomials

Source:

http://dx.doi.org/10.1590/S1807-03022010000300006

URI:

Access Rights:

Acesso aberto

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/72223

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