An integral mean estimate for polynomials
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- by M. A. Malik PDF
- Proc. Amer. Math. Soc. 91 (1984), 281-284 Request permission
Abstract:
An inequality involving \[ \max \limits _{\left | z \right | = 1} \left | {P’(z)} \right |\quad {\text {and}}\quad {\left ( {\int _0^{2\pi } {{{\left | {P({e^{i\theta }})} \right |}^q}d\theta } } \right )^{1/q}},\quad q > 0,\] for a polynomial $P(z)$ having all its zeros in $\left | z \right | \leqslant 1$ is presented.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 91 (1984), 281-284
- MSC: Primary 30C10; Secondary 30A10
- DOI: https://doi.org/10.1090/S0002-9939-1984-0740186-3
- MathSciNet review: 740186