Zero localization and asymptotic behavior of orthogonal polynomials of jacobi-sobolev
In this article we consider the Sobolev orthogonal polynomials associated to the Jacobi's measure on [-1, 1]. It is proven that for the class of monic Jacobi-Sobolev orthogonal polynomials, the smallest closed interval that contains its real zeros is [-√(1+2C, √ 1+2C] with C a constant explicit...
- Autores:
-
Pijeira, Héctor
Quintana, Yamilet
Urbina, Wilfredo
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2001
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/43779
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/43779
http://bdigital.unal.edu.co/33877/
- Palabra clave:
- orthogonal polynomials
asymptotic behavior
distribution of zeros
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
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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_abf2Pijeira, Héctor8f25cbc4-e14c-481e-be8a-14c1e69c7d72300Quintana, Yamilet58da9123-90e5-46e1-b308-37eb07b02f73300Urbina, Wilfredob44572ff-6dcd-4f8a-987f-08f9dda917ec3002019-06-28T12:26:51Z2019-06-28T12:26:51Z2001https://repositorio.unal.edu.co/handle/unal/43779http://bdigital.unal.edu.co/33877/In this article we consider the Sobolev orthogonal polynomials associated to the Jacobi's measure on [-1, 1]. It is proven that for the class of monic Jacobi-Sobolev orthogonal polynomials, the smallest closed interval that contains its real zeros is [-√(1+2C, √ 1+2C] with C a constant explicitly determined. The asymptotic distribution of those zeros is studied and also we analyze the asymptotic comparative behavior between the sequence of monic Jacobi-Sobolev orthogonal polynomials and the sequence of monic Jacobi ortogonal polynomials under certain restrictions.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/33818Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 35, núm. 2 (2001); 77-97 0034-7426Pijeira, Héctor and Quintana, Yamilet and Urbina, Wilfredo (2001) Zero localization and asymptotic behavior of orthogonal polynomials of jacobi-sobolev. Revista Colombiana de Matemáticas; Vol. 35, núm. 2 (2001); 77-97 0034-7426 .Zero localization and asymptotic behavior of orthogonal polynomials of jacobi-sobolevArtículo 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/ARTorthogonal polynomialsasymptotic behaviordistribution of zerosORIGINAL33818-127575-1-PB.pdfapplication/pdf6468776https://repositorio.unal.edu.co/bitstream/unal/43779/1/33818-127575-1-PB.pdfe538f49bbd34ec03f9beefe4fb131d0bMD51THUMBNAIL33818-127575-1-PB.pdf.jpg33818-127575-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6776https://repositorio.unal.edu.co/bitstream/unal/43779/2/33818-127575-1-PB.pdf.jpg6896a9130cbc25ee6605018a35e3a8bdMD52unal/43779oai:repositorio.unal.edu.co:unal/437792024-02-11 23:19:13.968Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
| dc.title.spa.fl_str_mv |
Zero localization and asymptotic behavior of orthogonal polynomials of jacobi-sobolev |
| title |
Zero localization and asymptotic behavior of orthogonal polynomials of jacobi-sobolev |
| spellingShingle |
Zero localization and asymptotic behavior of orthogonal polynomials of jacobi-sobolev orthogonal polynomials asymptotic behavior distribution of zeros |
| title_short |
Zero localization and asymptotic behavior of orthogonal polynomials of jacobi-sobolev |
| title_full |
Zero localization and asymptotic behavior of orthogonal polynomials of jacobi-sobolev |
| title_fullStr |
Zero localization and asymptotic behavior of orthogonal polynomials of jacobi-sobolev |
| title_full_unstemmed |
Zero localization and asymptotic behavior of orthogonal polynomials of jacobi-sobolev |
| title_sort |
Zero localization and asymptotic behavior of orthogonal polynomials of jacobi-sobolev |
| dc.creator.fl_str_mv |
Pijeira, Héctor Quintana, Yamilet Urbina, Wilfredo |
| dc.contributor.author.spa.fl_str_mv |
Pijeira, Héctor Quintana, Yamilet Urbina, Wilfredo |
| dc.subject.proposal.spa.fl_str_mv |
orthogonal polynomials asymptotic behavior distribution of zeros |
| topic |
orthogonal polynomials asymptotic behavior distribution of zeros |
| description |
In this article we consider the Sobolev orthogonal polynomials associated to the Jacobi's measure on [-1, 1]. It is proven that for the class of monic Jacobi-Sobolev orthogonal polynomials, the smallest closed interval that contains its real zeros is [-√(1+2C, √ 1+2C] with C a constant explicitly determined. The asymptotic distribution of those zeros is studied and also we analyze the asymptotic comparative behavior between the sequence of monic Jacobi-Sobolev orthogonal polynomials and the sequence of monic Jacobi ortogonal polynomials under certain restrictions. |
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2001 |
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2001 |
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2019-06-28T12:26:51Z |
| dc.date.available.spa.fl_str_mv |
2019-06-28T12:26:51Z |
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Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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info:eu-repo/semantics/article |
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http://purl.org/coar/resource_type/c_6501 |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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Text |
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https://repositorio.unal.edu.co/handle/unal/43779 |
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http://bdigital.unal.edu.co/33877/ |
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https://repositorio.unal.edu.co/handle/unal/43779 http://bdigital.unal.edu.co/33877/ |
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spa |
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spa |
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http://revistas.unal.edu.co/index.php/recolma/article/view/33818 |
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Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas Revista Colombiana de Matemáticas |
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Revista Colombiana de Matemáticas; Vol. 35, núm. 2 (2001); 77-97 0034-7426 |
| dc.relation.references.spa.fl_str_mv |
Pijeira, Héctor and Quintana, Yamilet and Urbina, Wilfredo (2001) Zero localization and asymptotic behavior of orthogonal polynomials of jacobi-sobolev. Revista Colombiana de Matemáticas; Vol. 35, núm. 2 (2001); 77-97 0034-7426 . |
| dc.rights.spa.fl_str_mv |
Derechos reservados - Universidad Nacional de Colombia |
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http://purl.org/coar/access_right/c_abf2 |
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Atribución-NoComercial 4.0 Internacional |
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http://creativecommons.org/licenses/by-nc/4.0/ |
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info:eu-repo/semantics/openAccess |
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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 |
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Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas |
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