ABSTRACT
Let us assume that f(x) be a function defined in (–∞,∞), in which it is continuously differentiable a sufficient number of times. Here, we are concerned with the function f(x) such that the analytical formula representing the function is unknown, but the values of f(x) are known for a given set of n + 1 distinct values of x, say, x 0, x 1, x 2,…, x n .
x
f(x)
x 0
f(x 0)
x 1
f(x 1)
x 2
f(x 2)
⋮
⋮
x n
f(x n )
