The n-divided difference of the composite function h := f o g of functions f, g at a group of nodes t₀, t₁, ···, tn is shown by the combinations of divided differences of f at the group of nodes g(t₀) ...
Using Dirichlet averages we generalize the notion of a classical divided difference of a function by introducing a parameter r in $R_ + ^{k + 1}$. The case r in Nk+1 ...