@Article{ATA-30-290,
author = {Abdullah Mir , Imtiaz Hussain ,  and Dawood , Q. M.},
title = {On Some Inequalities Concerning Rate of Growth of Polynomials},
journal = {Analysis in Theory and Applications},
year = {2014},
volume = {30},
number = {3},
pages = {290--295},
abstract = {<p style="text-align: justify;">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 $|z|&lt;k,$ $ 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 &lt; R.$ Our result generalizes and refines some known polynomial inequalities.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2014.v30.n3.5},
url = {http://global-sci.org/intro/article_detail/ata/4493.html}
}