Some inequalities for polynomials
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- by Q. I. Rahman
- Proc. Amer. Math. Soc. 56 (1976), 225-230
- DOI: https://doi.org/10.1090/S0002-9939-1976-0402016-4
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Abstract:
Let ${p_n}(z)$ be a polynomial of degree $n$. Given that ${p_n}(z)$ has a zero on the circle $|z| = \rho (0 < \rho < \infty )$ we estimate ${\max _{|z| = R > 1}}|{p_n}(z)|$ in terms of ${\max _{|z| = 1}}|{p_n}(z)|$. We also consider some other related problems.References
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Bibliographic Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 56 (1976), 225-230
- MSC: Primary 30A08
- DOI: https://doi.org/10.1090/S0002-9939-1976-0402016-4
- MathSciNet review: 0402016