On the maximum modulus of a polynomial and its derivative
Abstract
In this paper, we generalize the above inequality and some related inequalities by extending them to the class of polynomials having no zeros in |z| < 1 except s-fold zeros at the origin where 0 ≤ s ≤ n. We also establish a compact generalization of some known polynomial inequalities.
- Published
- 9 October 2014
- Volume
- 2014 (2014)
- License
- CC BY 3.0
Copyright © 2014 Ahmad Zireh, Mahmood Bidkham, Sara Ahmadi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
A. Zireh, M. Bidkham, S. Ahmadi, On the maximum modulus of a polynomial and its derivative, Adv. Inequal. Appl. 2014 (2014), 37.
BibTeX
@article{Zireh2014,
author = {Zireh, Ahmad and Bidkham, Mahmood and Ahmadi, Sara},
title = {On the maximum modulus of a polynomial and its derivative},
journal = {Adv. Inequal. Appl.},
volume = {2014},
year = {2014},
pages = {37},
doi = {}
}