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DC Field | Value | Language |
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dc.contributor.author | Castillo, Kenier | - |
dc.contributor.author | Mello, Mirela V. | - |
dc.contributor.author | Rafaeli, Fernando R. | - |
dc.date.accessioned | 2014-05-20T13:13:16Z | - |
dc.date.accessioned | 2016-10-25T16:33:57Z | - |
dc.date.available | 2014-05-20T13:13:16Z | - |
dc.date.available | 2016-10-25T16:33:57Z | - |
dc.date.issued | 2012-11-01 | - |
dc.identifier | http://dx.doi.org/10.1016/j.apnum.2012.05.006 | - |
dc.identifier.citation | Applied Numerical Mathematics. Amsterdam: Elsevier B.V., v. 62, n. 11, p. 1663-1671, 2012. | - |
dc.identifier.issn | 0168-9274 | - |
dc.identifier.uri | http://hdl.handle.net/11449/1113 | - |
dc.identifier.uri | http://acervodigital.unesp.br/handle/11449/1113 | - |
dc.description.abstract | We investigate the location, monotonicity, and asymptotics of the zeros of the polynomials orthogonal with respect to the Sobolev type inner product< p, q > (lambda,c.j) = integral(b)(a) p(x)q(x)mu(x) + lambda p((j))(c)q((j))(c),where mu is a positive Borel measure, lambda >= 0, j is an element of Z(+), and c is not an element of (a, b). We prove that these zeros are monotonic function of the parameter A and establish their asymptotics when either lambda converges to zero or to infinity. The precise location of the extreme zeros is also analyzed. (c) 2012 IMACS. Published by Elsevier B.V. All rights reserved. | en |
dc.description.sponsorship | Direccion General de Investigacion, Ministerio de Ciência e Innovacion of Spain | - |
dc.description.sponsorship | Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) | - |
dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | - |
dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | - |
dc.description.sponsorship | Fundação para o Desenvolvimento da UNESP (FUNDUNESP) | - |
dc.format.extent | 1663-1671 | - |
dc.language.iso | eng | - |
dc.publisher | Elsevier B.V. | - |
dc.source | Web of Science | - |
dc.subject | Orthogonal polynomials | en |
dc.subject | Sobolev type inner product | en |
dc.subject | Zeros | en |
dc.subject | Monotonicity | en |
dc.subject | Asymptotic behavior | en |
dc.title | Monotonicity and asymptotics of zeros of Sobolev type orthogonal polynomials: A general case | en |
dc.type | outro | - |
dc.contributor.institution | Univ Carlos III Madrid | - |
dc.contributor.institution | Universidade Estadual Paulista (UNESP) | - |
dc.description.affiliation | Univ Carlos III Madrid, Dept Matemat, Leganes 28911, Spain | - |
dc.description.affiliation | Univ Estadual Paulista Unesp, IBILCE, Dept Matemat Aplicada, Jaboticabal, Brazil | - |
dc.description.affiliationUnesp | Univ Estadual Paulista Unesp, IBILCE, Dept Matemat Aplicada, Jaboticabal, Brazil | - |
dc.description.sponsorshipId | Direccion General de Investigacion, Ministerio de Ciência e Innovacion of Spain: MTM2009-12740-C03-01 | - |
dc.identifier.doi | 10.1016/j.apnum.2012.05.006 | - |
dc.identifier.wos | WOS:000309027700005 | - |
dc.rights.accessRights | Acesso restrito | - |
dc.relation.ispartof | Applied Numerical Mathematics | - |
Appears in Collections: | Artigos, TCCs, Teses e Dissertações da Unesp |
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