Asian Journal of Mathematics & Statistics1994-54182077-2068Asian Network for Scientific Information10.3923/ajms.2015.1.18LimanAbdulFaiqIrfan Ahmed1201581In this study, by combining the operators B and D_{α}, we investigate the dependence of B[D_{α}(P(Rz)-βP(rz))] on the maximum modulus of P(z) on | z | = 1 for every real or complex numbers α and β with | α |≥1, | β |≤1 and R>r≥1. The present results include not only some known polynomial inequalities as special case, but also the results recently proved by Bidkham and Mezerji as a particular case.]]>Aziz, A.,1988Aziz, A. and Q.M. Dawood,1988Aziz, A. and N.A. Rather,1998L^{q} inequalities for polynomials.]]>Aziz, A. and N.A. Rather,1999Aziz, A. and W.M. Shah,1998Bernstein, S.,1930Bidkham, M. and H.S. Mezerji,2011Govil, N.K. and Q.I. Rahman,1969Laguerre, E.,1989Lax, P.D.,1944P. Erdos on the derivative of a polynomial.]]>Rahman, Q.I. and G. Schmeisser,2002Riesz, M.,1916Shah, W.M. and A. Liman,2008Turan, P.,1939