Abstract
In this article we determine the extreme points for the families of positive and positive real functions. We prove a number of new sharp inequalities in addition to quantifying and generalizing some well-known results. We also investigate sharp bounds on |p'(z)| and |p′′(z)| for positive real functions, unknown since 1932.
†Dedicated to Professor Peter L. Duren on the occasion of his 70th birthday.
Notes
†Dedicated to Professor Peter L. Duren on the occasion of his 70th birthday.