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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/21818
Title: 
New steps on Sobolev orthogonality in two variables
Author(s): 
Institution: 
  • Univ Granada
  • Universidade Estadual Paulista (UNESP)
ISSN: 
0377-0427
Sponsorship: 
  • 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)
Sponsorship Process Number: 
  • 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
Abstract: 
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.
Issue Date: 
15-Dec-2010
Citation: 
Journal of Computational and Applied Mathematics. Amsterdam: Elsevier B.V., v. 235, n. 4, p. 916-926, 2010.
Time Duration: 
916-926
Publisher: 
Elsevier B.V.
Keywords: 
  • Orthogonal polynomials in two variables
  • Sobolev orthogonal polynomials
  • Classical orthogonal polynomials
Source: 
http://dx.doi.org/10.1016/j.cam.2010.07.006
URI: 
Access Rights: 
Acesso restrito
Type: 
outro
Source:
http://repositorio.unesp.br/handle/11449/21818
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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