INTEGRAL ANALOGUE OF TURÁN-TYPE INEQUALITIES CONCERNING THE POLAR DERIVATIVE OF A POLYNOMIAL
If \(w(\zeta)\) is a polynomial of degree $n$ with all its zeros in \(|\zeta|\leq \Delta, \Delta\geq 1\) and any real \(\gamma\geq 1\), Aziz proved the integral inequality [1] $$ \left\lbrace\int_{0}^{2\pi}\left|1+\Delta^ne^{i\theta}\right|^{\gamma}d\theta\right\rbrace^{{1}/{\gamma}}\max_{|\zeta|=1...
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| Huvudupphov: | , |
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| Materialtyp: | Artigo |
| Språk: | Inglês |
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Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics
2024-12-01
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| Serie: | Ural Mathematical Journal |
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| Länkar: | https://umjuran.ru/index.php/umj/article/view/711 |
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