Year: 2014
Author: Abdullah Mir, Imtiaz Hussain, Q. M. Dawood
Analysis in Theory and Applications, Vol. 30 (2014), Iss. 3 : pp. 290–295
Abstract
In this paper we consider a class of polynomials $P(z)= a_{0} + \sum_{v=t}^{n} a_{v}z^{v}$, $t\geq 1,$ not vanishing in $|z|<k,$ $ k\geq 1$ and investigate the dependence of ${\max_{|z|=1}}|P(Rz)-P(rz)|$ on ${\max_{|z|=1}}|P(z)|,$ where $ 1 \leq r < R.$ Our result generalizes and refines some known polynomial inequalities.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2014.v30.n3.5
Analysis in Theory and Applications, Vol. 30 (2014), Iss. 3 : pp. 290–295
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 6
Keywords: Polynomial zero inequality.