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  Volume 8, Issue 2, Article 37
 
Inequalities for the Maximum Modulus of the Derivative of a Polynomial
    Authors: A. Aziz, B.A. Zargar,  
    Keywords: Polynomial, Derivative, Bernstein Inequality, Maximum Modulus.  
    Date Received: 17/05/06  
    Date Accepted: 18/12/06  
    Subject Codes:

30C10, 30C15.

  
    Editors: Qazi Ibadur Rahman,  
 
    Abstract:

Let $ P(z)$ be a polynomial of degree $ n$ and $ M(P,t)=$ func{Max}_{$ vert z$ vert=t}$ vert P(z)$ vert$. In this paper we shall estimate $ M(P^{^{$ prime }},$ rho)$ in terms of $ M(P,r)$ where $ P(z)$ does not vanish in the disk

         
       
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