For a polynomial of degree , we consider an operator which map a polynomial into with respect to . It was proved by Liman et al. (2010) that if has no zeros in then for all with and , . In this paper we extend the above inequality for the polynomials having no zeros in , where . Our result generalizes certain well-known polynomial inequalities.
"Inequalities for the Polar Derivative of a Polynomial." Abstr. Appl. Anal. 2012 1 - 13, 2012. https://doi.org/10.1155/2012/181934