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>
International Journal of Mathematics and Mathematical Sciences