Divided Differences

A DIVIDED DIFFERENCESDivided differences furnish an alternative to the standard Lagrange interpolating bases for the representation of interpolating polynomials.Let f ∈ C n+1 ([a, b]), and consider a set ∆ = {x 0 , x 1 , . . ., x n } of distinct points in [a, b].Theorem 2.2.1 guarantees the existenc... View More