  In this work, we study the non rough norms in Banach spaces with small
diameter properties, namely the Ball Dentable Property (BDP), the Ball Huskable
Property (BHP) and the Ball Small Combination of Slice Property (BSCSP). We
introduce two more notions of non rough norms, namely the weakly average non
rough norms and average non rough norms in Banach spaces. We prove the duality
between these three versions of non rough norms and the small diameter
properties in Banach spaces. We also prove that each of the three non rough
norms is a three space property under certain assumptions.
