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.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|