Some Inequalities for the Derivative of Polynomials

الملخص EN

If p z = ∑ υ = 0 n c υ z υ is a polynomial of degree n , having no zeros in z < 1 , then Aziz (1989) proved max z = 1 p ′ z ≤ n / 2 M α 2 + M α + π 2 1 / 2 , where M α = max 1 ≤ k ≤ n p e i α + 2 k π / n .

In this paper, we consider a class of polynomial P n μ of degree n , defined as p z = a 0 + ∑ υ = μ n a υ z υ and present certain generalizations of above inequality and some other well-known results.