Some inequalities concerning the rate of growth of polynomials
Some inequalities concerning the rate of growth of polynomials
In this paper we consider a class of polynomials p(z) = a0and investigate the dependence of max |z|=1 |p(Rz)p(z)| on max |z|=1 |p(z)| .Our result not only generalizes some polynomial inequalities, but also a variety of interesting results can be deduced from it by a fairly uniform procedure.