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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

An integral mean estimate for polynomials


Author: M. A. Malik
Journal: Proc. Amer. Math. Soc. 91 (1984), 281-284
MSC: Primary 30C10; Secondary 30A10
MathSciNet review: 740186
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Abstract: An inequality involving

$\displaystyle \mathop {\max }\limits_{\left\vert z \right\vert = 1} \left\vert ... ...vert {P({e^{i\theta }})} \right\vert}^q}d\theta } } \right)^{1/q}},\quad q > 0,$

for a polynomial $ P(z)$ having all its zeros in $ \left\vert z \right\vert \leqslant 1$ is presented.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1984-0740186-3
PII: S 0002-9939(1984)0740186-3
Keywords: Polynomials, derivative, zeros, inequalities
Article copyright: © Copyright 1984 American Mathematical Society