Lagrange interpolation and entire functions

For a function f defined  almost everywhere on R.  Let {Ln (f)} be the sequence of Lagrange interpolation polynomials that approximates f, where the nodes are taken to be the zeros of a certain sequence of orthogonal polynomials. In this paper, we will give a condition on the decay of the error term...

Full description

Autores:
Al-Jarrah, Radwan
Al-Khaled, Kamel
Tipo de recurso:
Article of journal
Fecha de publicación:
1990
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/43278
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/43278
http://bdigital.unal.edu.co/33376/
Palabra clave:
Lagrange
orthogonal
entire function
type finite
Hermite polynomials
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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oai_identifier_str oai:repositorio.unal.edu.co:unal/43278
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network_name_str Universidad Nacional de Colombia
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Al-Jarrah, Radwanadb26e82-a604-472b-bb1f-81855b8d8832300Al-Khaled, Kamel4fbe6c99-ca71-4721-bff6-12f7f96c95ef3002019-06-28T11:46:34Z2019-06-28T11:46:34Z1990https://repositorio.unal.edu.co/handle/unal/43278http://bdigital.unal.edu.co/33376/For a function f defined  almost everywhere on R.  Let {Ln (f)} be the sequence of Lagrange interpolation polynomials that approximates f, where the nodes are taken to be the zeros of a certain sequence of orthogonal polynomials. In this paper, we will give a condition on the decay of the error term 16 |f-Ln(f) |, which makes f the restriction on R of an entire function of order one and finite type. In the case of the Hermite polynomials an estimate on the type is given.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/33215Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 24, núm. 3-4 (1990); 115-123 0034-7426Al-Jarrah, Radwan and Al-Khaled, Kamel (1990) Lagrange interpolation and entire functions. Revista Colombiana de Matemáticas; Vol. 24, núm. 3-4 (1990); 115-123 0034-7426 .Lagrange interpolation and entire functionsArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTLagrangeorthogonalentire functiontype finiteHermite polynomialsORIGINAL33215-123141-1-PB.pdfapplication/pdf2238015https://repositorio.unal.edu.co/bitstream/unal/43278/1/33215-123141-1-PB.pdffe3f5deb0f0789b7bb9366dd9c42a446MD51THUMBNAIL33215-123141-1-PB.pdf.jpg33215-123141-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6750https://repositorio.unal.edu.co/bitstream/unal/43278/2/33215-123141-1-PB.pdf.jpga336d1ba1ba51baea3e2f6e890889f95MD52unal/43278oai:repositorio.unal.edu.co:unal/432782024-02-09 23:09:51.919Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Lagrange interpolation and entire functions
title Lagrange interpolation and entire functions
spellingShingle Lagrange interpolation and entire functions
Lagrange
orthogonal
entire function
type finite
Hermite polynomials
title_short Lagrange interpolation and entire functions
title_full Lagrange interpolation and entire functions
title_fullStr Lagrange interpolation and entire functions
title_full_unstemmed Lagrange interpolation and entire functions
title_sort Lagrange interpolation and entire functions
dc.creator.fl_str_mv Al-Jarrah, Radwan
Al-Khaled, Kamel
dc.contributor.author.spa.fl_str_mv Al-Jarrah, Radwan
Al-Khaled, Kamel
dc.subject.proposal.spa.fl_str_mv Lagrange
orthogonal
entire function
type finite
Hermite polynomials
topic Lagrange
orthogonal
entire function
type finite
Hermite polynomials
description For a function f defined  almost everywhere on R.  Let {Ln (f)} be the sequence of Lagrange interpolation polynomials that approximates f, where the nodes are taken to be the zeros of a certain sequence of orthogonal polynomials. In this paper, we will give a condition on the decay of the error term 16 |f-Ln(f) |, which makes f the restriction on R of an entire function of order one and finite type. In the case of the Hermite polynomials an estimate on the type is given.
publishDate 1990
dc.date.issued.spa.fl_str_mv 1990
dc.date.accessioned.spa.fl_str_mv 2019-06-28T11:46:34Z
dc.date.available.spa.fl_str_mv 2019-06-28T11:46:34Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.type.content.spa.fl_str_mv Text
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format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/43278
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/33376/
url https://repositorio.unal.edu.co/handle/unal/43278
http://bdigital.unal.edu.co/33376/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/33215
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Matemáticas; Vol. 24, núm. 3-4 (1990); 115-123 0034-7426
dc.relation.references.spa.fl_str_mv Al-Jarrah, Radwan and Al-Khaled, Kamel (1990) Lagrange interpolation and entire functions. Revista Colombiana de Matemáticas; Vol. 24, núm. 3-4 (1990); 115-123 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
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dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
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dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/43278/1/33215-123141-1-PB.pdf
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