Zeros of Jacobi-Sobolev orthogonal polynomials following non-coherent pair of measures
Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
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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 |