On Bernstein and Turán-type integral mean estimates for polar derivative of a polynomial
Abstract Let p ( z ) $p(z)$ be a polynomial of degree n having no zero in | z | < k $|z|< k$ , k ≤ 1 $k\leq 1$ , then Govil [Proc. Nat. Acad. Sci., 50(1980), 50-52] proved max | z | = 1 | p ′ ( z ) | ≤ n 1 + k n max | z | = 1 | p ( z ) | , $$ \max _{|z|=1}|p'(z)|\leq \frac{n}{1+k^{n}}\max _{|z|=1}|p...
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| Autors principals: | , |
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| Format: | Artigo |
| Idioma: | Inglês |
| Publicat: |
SpringerOpen
2024-08-01
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| Col·lecció: | Journal of Inequalities and Applications |
| Matèries: | |
| Accés en línia: | https://doi.org/10.1186/s13660-024-03183-5 |
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