Simple bounds for the extreme zeroes of Jacobi polynomials
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910741453340672 |
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| author | Nikolov, Geno |
| author_facet | Nikolov, Geno |
| contents | Some new bounds for the extreme zeroes of Jacobi polynomials are obtained with an elementary approach. A feature of these bounds is their simple forms, which make them easy to work with. Despite their simplicity, our lower bounds for the largest zeroes of Gegenbauer polynomials are compatible with some of the best hitherto known results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_00849 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Simple bounds for the extreme zeroes of Jacobi polynomials Nikolov, Geno Classical Analysis and ODEs 33C45, 42C05 Some new bounds for the extreme zeroes of Jacobi polynomials are obtained with an elementary approach. A feature of these bounds is their simple forms, which make them easy to work with. Despite their simplicity, our lower bounds for the largest zeroes of Gegenbauer polynomials are compatible with some of the best hitherto known results. |
| title | Simple bounds for the extreme zeroes of Jacobi polynomials |
| topic | Classical Analysis and ODEs 33C45, 42C05 |
| url | https://arxiv.org/abs/2406.00849 |