TY - JOUR
T1 - On Some Inequalities Concerning Rate of Growth of Polynomials
AU - Abdullah Mir , 
AU - Imtiaz Hussain , 
AU - Dawood , Q. M.
JO - Analysis in Theory and Applications
VL - 3
SP - 290
EP - 295
PY - 2014
DA - 2014/10
SN - 30
DO - http://doi.org/10.4208/ata.2014.v30.n3.5
UR - https://global-sci.org/intro/article_detail/ata/4493.html
KW - Polynomial, zero, inequality.
AB - <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>