@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 = {

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.

}, 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} }