On the maximum modulus of a polynomial and its derivative

Ahmad Zireh, Mahmood Bidkham, Sara Ahmadi

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.


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Published: 2014-10-09

How to Cite this Article:

Ahmad Zireh, Mahmood Bidkham, Sara Ahmadi, On the maximum modulus of a polynomial and its derivative, Advances in Inequalities and Applications, Vol 2014 (2014), Article ID 37

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.

Advances in Inequalities and Applications

ISSN 2050-7461

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