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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.17762 |
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| _version_ | 1866912047206236160 |
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| author | Guillén, Mario Sevilla-Peris, Pablo |
| author_facet | Guillén, Mario Sevilla-Peris, Pablo |
| contents | We make a careful analysis of Bohr's inequality, in the line started by Kayumov and Ponnusamy, where some extra summand (depending on the function) is added in the right-hand side of the inequality. We analyse the inequality when smaller radius are taken, giving sharp constants. As a result of this point of view, some previous results are improved. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_17762 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Sharpness in Bohr's Inequality Guillén, Mario Sevilla-Peris, Pablo Complex Variables We make a careful analysis of Bohr's inequality, in the line started by Kayumov and Ponnusamy, where some extra summand (depending on the function) is added in the right-hand side of the inequality. We analyse the inequality when smaller radius are taken, giving sharp constants. As a result of this point of view, some previous results are improved. |
| title | Sharpness in Bohr's Inequality |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2409.17762 |