EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 52(66), pp. 37--42 (1992)

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Some estimates of the integral $\int_0^{2\pi}{\text Log}\,|P(e^{i\theta})|(2\pi)^{-1}\,d\theta$

Stojan Radenovi\'c

Prirodno matematicki fakultet, Kragujevac, Yugoslavia

Abstract: We investigate some estimates of the integral $\int_0^{2\pi}\text{Log}\,|P(e^{i\th})|\df{d\th}{2\pi}$, if the polynomial $P(z)$ has a concentration at low degrees measured by the $l_p$-norm, $1\le p\le 2$. We also obtain better estimates for some concentrations than those obtained in [1].

Classification (MSC2000): 30C10

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Electronic fulltext finalized on: 2 Nov 2001. This page was last modified: 16 Nov 2001.

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