On certain inequalities for some regular functions in |z|<1

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.

Keywords

• regular functions
• starlike functions of order &#945;
• convex function of order &#945;
• inequalities.