Strong asymptotics for Lp extremal polynomials off a complex curve
We study the asymptotic behavior of Lp(σ) extremal polynomials with respect to a measure of the form σ=α+γ, where α is a measure concentrated on a rectifiable Jordan curve in the complex plane and γ is a discrete measure concentrated on an infinite number of mass points.
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X0430906X |
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| _version_ | 1832562652500459520 |
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| author | Rabah Khaldi |
| author_facet | Rabah Khaldi |
| author_sort | Rabah Khaldi |
| collection | DOAJ |
| description | We study the asymptotic behavior of Lp(σ) extremal polynomials with respect to a measure of the form σ=α+γ, where α is a measure concentrated on a rectifiable Jordan curve in the complex plane and γ is a discrete measure concentrated on an infinite number of mass points. |
| format | Article |
| id | doaj-art-08a96bc13ae9455a8b602ee44464aff8 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-08a96bc13ae9455a8b602ee44464aff82025-02-03T01:22:02ZengWileyJournal of Applied Mathematics1110-757X1687-00422004-01-012004537137810.1155/S1110757X0430906XStrong asymptotics for Lp extremal polynomials off a complex curveRabah Khaldi0Department of Mathematics, University of Annaba, P.O. Box 12, Annaba 23000, AlgeriaWe study the asymptotic behavior of Lp(σ) extremal polynomials with respect to a measure of the form σ=α+γ, where α is a measure concentrated on a rectifiable Jordan curve in the complex plane and γ is a discrete measure concentrated on an infinite number of mass points.http://dx.doi.org/10.1155/S1110757X0430906X |
| spellingShingle | Rabah Khaldi Strong asymptotics for Lp extremal polynomials off a complex curve Journal of Applied Mathematics |
| title | Strong asymptotics for Lp extremal polynomials off a complex curve |
| title_full | Strong asymptotics for Lp extremal polynomials off a complex curve |
| title_fullStr | Strong asymptotics for Lp extremal polynomials off a complex curve |
| title_full_unstemmed | Strong asymptotics for Lp extremal polynomials off a complex curve |
| title_short | Strong asymptotics for Lp extremal polynomials off a complex curve |
| title_sort | strong asymptotics for lp extremal polynomials off a complex curve |
| url | http://dx.doi.org/10.1155/S1110757X0430906X |
| work_keys_str_mv | AT rabahkhaldi strongasymptoticsforlpextremalpolynomialsoffacomplexcurve |