ABSTRACT
The error term for the Newton backward-difference polynomial can be obtained from the general error term, Eq. (4.9), by making the following substitutions:
(x - xo) = sh (x -XI) = (xo +sh) -XI = sh + (xo -XI) = (s + I)h
(X - xn) = (xo + sh) - Xn = sh + (xo - xn) = (s + n)h Substituting Eq. (4.108) into Eq. (4.9) yields
I Error(x) = s(s + I)(s + 2)··· (s + n - I)(s + n)hn+lfn+I)(O(n + I)!
