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


Autoria(s): de Andrade, Eliana X.L.; Bracciali, Cleonice Fátima; de Mello, Mirela V.; Pérez, Teresa E.
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

27/05/2014

27/05/2014

14/12/2010

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)

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.

Formato

423-445

Identificador

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

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

0101-8205

1807-0302

http://hdl.handle.net/11449/72223

10.1590/S1807-03022010000300006

S1807-03022010000300006

WOS:000287545100006

2-s2.0-78649931864

2-s2.0-78649931864.pdf

Idioma(s)

eng

Relação

Computational and Applied Mathematics

Direitos

openAccess

Palavras-Chave #Jacobi orthogonal polynomials #Sobolev orthogonal polynomials #Zeros of orthogonal polynomials
Tipo

info:eu-repo/semantics/article