Asymptotics of the L2 norm of derivatives of OPUC
We show that for many families of OPUC, one has k'′nk2/n → 1, , a condition we call normal behavior. We prove that this implies | n| → 0 and that it holds if P∞ n=0| n| < ∞. We also prove it is true for many sparse sequences. On the other hand, it is often destroyed by the insertion of a mas...
| Main Authors: | , |
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| Format: | info:eu-repo/semantics/article |
| Language: | English |
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2012
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| Online Access: | http://hdl.handle.net/10835/1624 |
| _version_ | 1789406747472953344 |
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| author | Martínez-Finkelshtein, Andrei Barry, Simon |
| author_facet | Martínez-Finkelshtein, Andrei Barry, Simon |
| author_sort | Martínez-Finkelshtein, Andrei |
| collection | DSpace |
| description | We show that for many families of OPUC, one has k'′nk2/n → 1, , a condition we call normal behavior. We prove that this implies | n| → 0 and that it holds if P∞ n=0| n| < ∞. We also prove it is true for many sparse sequences. On the other hand, it is often destroyed by the insertion of a mass point. |
| format | info:eu-repo/semantics/article |
| id | oai:repositorio.ual.es:10835-1624 |
| institution | Universidad de Cuenca |
| language | English |
| publishDate | 2012 |
| record_format | dspace |
| spelling | oai:repositorio.ual.es:10835-16242023-04-12T19:39:41Z Asymptotics of the L2 norm of derivatives of OPUC Martínez-Finkelshtein, Andrei Barry, Simon Polinomios ortogonales Asintótica Orthogonal polynomials Derivative asymptotics We show that for many families of OPUC, one has k'′nk2/n → 1, , a condition we call normal behavior. We prove that this implies | n| → 0 and that it holds if P∞ n=0| n| < ∞. We also prove it is true for many sparse sequences. On the other hand, it is often destroyed by the insertion of a mass point. 2012-07-31T11:43:09Z 2012-07-31T11:43:09Z 2011 info:eu-repo/semantics/article http://hdl.handle.net/10835/1624 en info:eu-repo/semantics/openAccess Journal of Approximation Theory Volume 163, Issue 6, June 2011 |
| spellingShingle | Polinomios ortogonales Asintótica Orthogonal polynomials Derivative asymptotics Martínez-Finkelshtein, Andrei Barry, Simon Asymptotics of the L2 norm of derivatives of OPUC |
| title | Asymptotics of the L2 norm of derivatives of OPUC |
| title_full | Asymptotics of the L2 norm of derivatives of OPUC |
| title_fullStr | Asymptotics of the L2 norm of derivatives of OPUC |
| title_full_unstemmed | Asymptotics of the L2 norm of derivatives of OPUC |
| title_short | Asymptotics of the L2 norm of derivatives of OPUC |
| title_sort | asymptotics of the l2 norm of derivatives of opuc |
| topic | Polinomios ortogonales Asintótica Orthogonal polynomials Derivative asymptotics |
| url | http://hdl.handle.net/10835/1624 |
| work_keys_str_mv | AT martinezfinkelshteinandrei asymptoticsofthel2normofderivativesofopuc AT barrysimon asymptoticsofthel2normofderivativesofopuc |