We established positivity of $ \nabla{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. https://www.roneverhart.com/MagnaFlow-California-Grade-CARB-Compliant-Direct-Fit-Catalytic-Converter-6561416/