Abstract
When we have a data table $ (x_0, y_0), (x_1, y_1), \ ldots (x_N, y_N) $ the question of how we can find a mathematical function that approximates this data is very common. One possibility is to look for a function that interpolates the data, that is, a function $ p $ that satisfies $ p (x_j) = y_j $ for $ j = 0,1, \ ldots, N $. Another possibility is to look for a function that fits the …