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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

international journal of mathematics and mathematical sciences

On certain inequalities for some regular functions in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$\left| z \right| &lt; 1$" id="E1"><mml:mrow><mml:mo>|</mml:mo><mml:mi>z</mml:mi><mml:mo>|</mml:mo></mml:mrow><mml:mo>&lt;</mml:mo><mml:mn>1</mml:mn></mml:math>

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