@Article{ATA-33-110,
author = {},
title = {Maximum Modulus of Polynomials},
journal = {Analysis in Theory and Applications},
year = {2017},
volume = {33},
number = {2},
pages = {110--117},
abstract = {<p style="text-align: justify;">Let $$P(z)= \sum_{j=0}^{n}a_j z^j$$ be a polynomial of degree $n$ and let $M(P,r)=\underset{|z|=r}{\max} |P(z)|$. If $P(z)\neq 0$ in $|z|&lt;1$, then $$M(P,r)\geq {\bigg(\frac{1+r}{1+\rho}\bigg)^n}M(P,\rho).$$The result is best possible. In this paper we shall present a refinement of this result and some other related results.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2017.v33.n2.2},
url = {http://global-sci.org/intro/article_detail/ata/10039.html}
}