We established positivity of Jacket $
abla{f} $ obtained from a systematic computation of a composition of sequential fractional differences of the function $ {f} $ that satisfy certain conditions in a negative lower bound setup.First, we considered the different order sequential fractional differences in which we need a complicated condition.Next, we equalled the order of fractional Bracelet differences and we saw that a simpler condition will be needed.We illustrated our positivity results for an increasing function of the rising type.