Some integral inequalities for a polynomial with zeros outside the unit disk

Abstract

The goal of this paper is to generalize and refine some previous inequalities between the LP- norms of the sth derivative and of the polynomial itself, in the case when the zeros are outside of the open unit disk.

Keywords

• sth derivative of a polynomial
• rouche’s theorem
• lγ inequalities
• 30a10
• 30c10
• 30c15