@Article{ATA-34-175,
author = {},
title = {Inequalities Concerning the Maximum Modulus of Polynomials},
journal = {Analysis in Theory and Applications},
year = {2018},
volume = {34},
number = {2},
pages = {175--186},
abstract = {<p style="text-align: justify;">Let $P(z)$ be a polynomial of degree $n$ having all its zeros in $|z|≤k$, $k≤1$, then
for every real or complex number $β$, with $|β|≤1$ and $R≥1$, it was shown by A. Zireh et
al. [7] that for $|z|=1$,<br/>$$\min\limits_{|z|=1}\left|P(Rz)+\beta(\frac{R+k}{1+k})^nP(z)\right|\geq k^{-n}\left|R^n+\beta(\frac{R+k}{1+k})^n\right|\min\limits_{|z|=k}|P(z)|.$$<br/>In this paper, we shall present a refinement of the above inequality. Besides, we shall
also generalize some well-known results.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2018.v34.n2.7},
url = {http://global-sci.org/intro/article_detail/ata/12585.html}
}