Interpolation Formulas

Abstract

Interpolation has been said to be the art of reading between the lines of tabulated values of a function. We may now make a distinction between interpolation and extrapolation. latter is the art of reading before the first line or after the last line of a tabulated function. More specifically, we may define interpolation as the process of finding the values of a function for any value of the independent variable within an interval for which some values are given and extrapolation as the process of finding the values outside of this interval.