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| Main Author: | |
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| Format: | Preprint |
| Published: |
2019
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1908.07118 |
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| _version_ | 1866911868868624384 |
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| author | Ma`u, Sione |
| author_facet | Ma`u, Sione |
| contents | We present an explicit method to compute the (Siciak-Zaharjuta) extremal function of a real convex polytope in terms of supporting simplices and strips. We use this to give a new proof of the existence of extremal ellipses associated to the extremal function of a real convex body. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1908_07118 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Extremal functions for real convex bodies: simplices, strips, and ellipses Ma`u, Sione Complex Variables 32U35 We present an explicit method to compute the (Siciak-Zaharjuta) extremal function of a real convex polytope in terms of supporting simplices and strips. We use this to give a new proof of the existence of extremal ellipses associated to the extremal function of a real convex body. |
| title | Extremal functions for real convex bodies: simplices, strips, and ellipses |
| topic | Complex Variables 32U35 |
| url | https://arxiv.org/abs/1908.07118 |