Some integral mean estimates for polynomials

In this paper, we establish some integral mean estimates for polynomials $P(z)=a_{n}z^{n}+sumlimits_{upsilon=mu}^{n}a_{n-upsilon}z^{n-upsilon} ,1leq mu leq n$, having all its zeros in $|z|leq k, kleq 1$. Our results not only generalize and refine some known polynomial inequalities, but also a variety of interesting results can be deduced from these by a fairly uniform procedure.