Taylor's formula may be looked upon as a one-point interpolation formula with remainder. In 1906, Birkhoff used this simple observation to make a unified approach to the various interpolation and ...
Transactions of the American Mathematical Society, Vol. 177 (Mar., 1973), pp. 237-255 (19 pages) The interpolation problem $x^{(n)} + P_{n - 1} x^{(n - 1)} + \cdots ...