Artigo
New steps on Sobolev orthogonality in two variables
Fecha
2010-12-15Registro en:
Journal of Computational and Applied Mathematics. Amsterdam: Elsevier B.V., v. 235, n. 4, p. 916-926, 2010.
0377-0427
10.1016/j.cam.2010.07.006
WOS:000283902100005
8300322452622467
0000-0002-6823-4204
Autor
Univ Granada
Universidade Estadual Paulista (Unesp)
Resumen
Sobolev orthogonal polynomials in two variables are defined via inner products involving gradients. Such a kind of inner product appears in connection with several physical and technical problems. Matrix second-order partial differential equations satisfied by Sobolev orthogonal polynomials are studied. In particular, we explore the connection between the coefficients of the second-order partial differential operator and the moment functionals defining the Sobolev inner product. Finally, some old and new examples are given. (C) 2010 Elsevier B.V. All rights reserved.