Interpolation p,(x) =a, +(x-c,){4 +(x-cla, ++ (x-c}a t4, (x-c,)} the nested newton form involves only n multiplications and 2n additions.

Interpolation P,(x) =a, +(x-c,){4 +(x-cla, ++ (x-c}a t4, (x-c,)} The nested Newton form involves only n multiplications and 2n additions.