Strong asymptotics of extremal polynomials on the segment in the presence of denumerable set of mass points
The strong asymptotics of the monic extremal polynomials with respect to a \(L_{p}(\sigma )\) norm are studied. The measure \(\sigma \) is concentrated on the segment \([-1,1]\) plus a denumerable set of mass points which accumulate at the boundary points of \([-1,1]\) only. Under the assumptions th...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Publishing House of the Romanian Academy
2011-02-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/949 |
| _version_ | 1818006628918624256 |
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| author | Rabah Khaldi Ahcene Boucenna |
| author_facet | Rabah Khaldi Ahcene Boucenna |
| author_sort | Rabah Khaldi |
| collection | DOAJ |
| description | The strong asymptotics of the monic extremal polynomials with respect to a \(L_{p}(\sigma )\) norm are studied. The measure \(\sigma \) is concentrated on the segment \([-1,1]\) plus a denumerable set of mass points which accumulate at the boundary points of \([-1,1]\) only. Under the assumptions that the mass points satisfy Blaschke's condition and that the absolutely continuous part of \(\sigma \) satisfies Szeg?'s condition. |
| first_indexed | 2024-04-14T05:04:42Z |
| format | Article |
| id | doaj.art-903fc175e93d44daa5ed9666e19625d9 |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-04-14T05:04:42Z |
| publishDate | 2011-02-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-903fc175e93d44daa5ed9666e19625d92022-12-22T02:10:48ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2011-02-01401Strong asymptotics of extremal polynomials on the segment in the presence of denumerable set of mass pointsRabah Khaldi0Ahcene Boucenna1University of AnnabaUniversity of AnnabaThe strong asymptotics of the monic extremal polynomials with respect to a \(L_{p}(\sigma )\) norm are studied. The measure \(\sigma \) is concentrated on the segment \([-1,1]\) plus a denumerable set of mass points which accumulate at the boundary points of \([-1,1]\) only. Under the assumptions that the mass points satisfy Blaschke's condition and that the absolutely continuous part of \(\sigma \) satisfies Szeg?'s condition.https://ictp.acad.ro/jnaat/journal/article/view/949orthogonal polynomialsasymptotic behavior |
| spellingShingle | Rabah Khaldi Ahcene Boucenna Strong asymptotics of extremal polynomials on the segment in the presence of denumerable set of mass points Journal of Numerical Analysis and Approximation Theory orthogonal polynomials asymptotic behavior |
| title | Strong asymptotics of extremal polynomials on the segment in the presence of denumerable set of mass points |
| title_full | Strong asymptotics of extremal polynomials on the segment in the presence of denumerable set of mass points |
| title_fullStr | Strong asymptotics of extremal polynomials on the segment in the presence of denumerable set of mass points |
| title_full_unstemmed | Strong asymptotics of extremal polynomials on the segment in the presence of denumerable set of mass points |
| title_short | Strong asymptotics of extremal polynomials on the segment in the presence of denumerable set of mass points |
| title_sort | strong asymptotics of extremal polynomials on the segment in the presence of denumerable set of mass points |
| topic | orthogonal polynomials asymptotic behavior |
| url | https://ictp.acad.ro/jnaat/journal/article/view/949 |
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