Extention of Bernstein's Type Inequality to Polar Derivative of a Polynomial

irshad Ahmad Sheikh, Abdul Liman, Ruqia Mohammad

Abstract

Let $P(z)$ be a polynomial of degree n and $D_{\alpha}P(z)$ denotes the polar derivative of  $P(z).$ Using recently developed interpolation formulation, we obtain an interesting extension of refinement of well known inequality of S. Bernstien  for polynomials.