Otro
Zeros of Jacobi-Sobolev orthogonal polynomials following non-coherent pair of measures
Registro en:
Computational and Applied Mathematics, v. 29, n. 3, p. 423-445, 2010.
0101-8205
1807-0302
10.1590/S1807-03022010000300006
S1807-03022010000300006
WOS:000287545100006
2-s2.0-78649931864.pdf
2-s2.0-78649931864
Autor
de Andrade, Eliana X.L.
Bracciali, Cleonice Fátima
de Mello, Mirela V.
Pérez, Teresa E.
Resumen
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. 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)