International Journal of Mathematics and Mathematical Sciences
Volume 8 (1985), Issue 4, Pages 677-681
doi:10.1155/S0161171285000746
On certain inequalities for some regular functions in |z|<1
Milutin Obradović
Department of Mathematics, Faculty of Technology and Metallurgy, University of Belgrade, Yugoslavia
Abstract
In this paper we give some inequalities for regular functions f(z)=z+a2z2+… in |z|<1 especially for starlike and convex functions of order α, 0≤α<1, To some extent those inequalities are the generalisations and improvements of the previous results given by Bernardi [1]. Some interesting consequences are given, too.