On the rate of convergence of hermite-fejér polynomials to functions of bounded variation on the zeros of certain jacobi polynomials

In this paper, we study the Hermite-Fejér interpolation, Hn(f,x), for a function f of bounded variation on [-1,1] when the inter)olation is taken over the zeros of Jacobi polynomials, Pn (∝,β ) (x) when |∝|, | β| ≤ ½.Our main result is an estimate for the rate of convergence of Hn(f,x) at points of...

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Autores:
Al-Jarrah, Radwan
Rababah, Abedallah
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/43271
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/43271
http://bdigital.unal.edu.co/33369/
Palabra clave:
Hermite-Fejér interpolation
function
Jacobi polynomials
rate convergence points of continuity
zeros of the Legendre polynomials
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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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-81855b8d8832300Rababah, Abedallahf2da8d08-23ce-43f6-b714-5e71ed53f9a63002019-06-28T11:46:04Z2019-06-28T11:46:04Z1990https://repositorio.unal.edu.co/handle/unal/43271http://bdigital.unal.edu.co/33369/In this paper, we study the Hermite-Fejér interpolation, Hn(f,x), for a function f of bounded variation on [-1,1] when the inter)olation is taken over the zeros of Jacobi polynomials, Pn (∝,β ) (x) when |∝|, | β| ≤ ½.Our main result is an estimate for the rate of convergence of Hn(f,x) at points of continuity of f,and a special attention is given to the interpolation over the zeros of the Legendre polynomials.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/33206Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 24, núm. 1-2 (1990); 51-64 0034-7426Al-Jarrah, Radwan and Rababah, Abedallah (1990) On the rate of convergence of hermite-fejér polynomials to functions of bounded variation on the zeros of certain jacobi polynomials. Revista Colombiana de Matemáticas; Vol. 24, núm. 1-2 (1990); 51-64 0034-7426 .On the rate of convergence of hermite-fejér polynomials to functions of bounded variation on the zeros of certain jacobi polynomialsArtículo 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/ARTHermite-Fejér interpolationfunctionJacobi polynomialsrate convergence points of continuityzeros of the Legendre polynomialsORIGINAL33206-123112-1-PB.pdfapplication/pdf3154114https://repositorio.unal.edu.co/bitstream/unal/43271/1/33206-123112-1-PB.pdfff4d5d1bbc2cb3666964aad814f7d115MD51THUMBNAIL33206-123112-1-PB.pdf.jpg33206-123112-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6071https://repositorio.unal.edu.co/bitstream/unal/43271/2/33206-123112-1-PB.pdf.jpg80a223b956e6fd59d03758daf607481fMD52unal/43271oai:repositorio.unal.edu.co:unal/432712024-02-09 23:09:51.097Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv On the rate of convergence of hermite-fejér polynomials to functions of bounded variation on the zeros of certain jacobi polynomials
title On the rate of convergence of hermite-fejér polynomials to functions of bounded variation on the zeros of certain jacobi polynomials
spellingShingle On the rate of convergence of hermite-fejér polynomials to functions of bounded variation on the zeros of certain jacobi polynomials
Hermite-Fejér interpolation
function
Jacobi polynomials
rate convergence points of continuity
zeros of the Legendre polynomials
title_short On the rate of convergence of hermite-fejér polynomials to functions of bounded variation on the zeros of certain jacobi polynomials
title_full On the rate of convergence of hermite-fejér polynomials to functions of bounded variation on the zeros of certain jacobi polynomials
title_fullStr On the rate of convergence of hermite-fejér polynomials to functions of bounded variation on the zeros of certain jacobi polynomials
title_full_unstemmed On the rate of convergence of hermite-fejér polynomials to functions of bounded variation on the zeros of certain jacobi polynomials
title_sort On the rate of convergence of hermite-fejér polynomials to functions of bounded variation on the zeros of certain jacobi polynomials
dc.creator.fl_str_mv Al-Jarrah, Radwan
Rababah, Abedallah
dc.contributor.author.spa.fl_str_mv Al-Jarrah, Radwan
Rababah, Abedallah
dc.subject.proposal.spa.fl_str_mv Hermite-Fejér interpolation
function
Jacobi polynomials
rate convergence points of continuity
zeros of the Legendre polynomials
topic Hermite-Fejér interpolation
function
Jacobi polynomials
rate convergence points of continuity
zeros of the Legendre polynomials
description In this paper, we study the Hermite-Fejér interpolation, Hn(f,x), for a function f of bounded variation on [-1,1] when the inter)olation is taken over the zeros of Jacobi polynomials, Pn (∝,β ) (x) when |∝|, | β| ≤ ½.Our main result is an estimate for the rate of convergence of Hn(f,x) at points of continuity of f,and a special attention is given to the interpolation over the zeros of the Legendre polynomials.
publishDate 1990
dc.date.issued.spa.fl_str_mv 1990
dc.date.accessioned.spa.fl_str_mv 2019-06-28T11:46:04Z
dc.date.available.spa.fl_str_mv 2019-06-28T11:46:04Z
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/43271
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/33369/
url https://repositorio.unal.edu.co/handle/unal/43271
http://bdigital.unal.edu.co/33369/
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/33206
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. 1-2 (1990); 51-64 0034-7426
dc.relation.references.spa.fl_str_mv Al-Jarrah, Radwan and Rababah, Abedallah (1990) On the rate of convergence of hermite-fejér polynomials to functions of bounded variation on the zeros of certain jacobi polynomials. Revista Colombiana de Matemáticas; Vol. 24, núm. 1-2 (1990); 51-64 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
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/43271/1/33206-123112-1-PB.pdf
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
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