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http://acervodigital.unesp.br/handle/11449/21818- Title:
- New steps on Sobolev orthogonality in two variables
- Univ Granada
- Universidade Estadual Paulista (UNESP)
- 0377-0427
- Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
- Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
- Spanish Ministry of Education and Science
- Junta de Andalucia, Grupo de Investigacion
- Ministerio de Ciência e Innovacion (Micinn) of Spain
- European Regional Development Fund (ERDF)
- Spanish Ministry of Education and Science: MTM2006-13000-C03-02
- Junta de Andalucia, Grupo de Investigacion: FQM 0229
- European Regional Development Fund (ERDF): MTM2008-06689-C02-02
- 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.
- 15-Dec-2010
- Journal of Computational and Applied Mathematics. Amsterdam: Elsevier B.V., v. 235, n. 4, p. 916-926, 2010.
- 916-926
- Elsevier B.V.
- Orthogonal polynomials in two variables
- Sobolev orthogonal polynomials
- Classical orthogonal polynomials
- http://dx.doi.org/10.1016/j.cam.2010.07.006
- Acesso restrito
- outro
- http://repositorio.unesp.br/handle/11449/21818
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