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Extrapolation is an estimation of a value based on extending a known sequence of values or facts beyond the area that is certainly known. In a general sense, to extrapolate is to infer something that is not explicitly stated from existing information. Interpolation is an estimation of a value within two known values in a sequence of values. Polynomial interpolation is a method of estimating values between known data points. When graphical data contains a gap, but data is available on either side of the gap or at a few specific points within the gap, interpolation allows us to estimate the values within the gap.
Interpolation is a specific case of curve fitting, in which the function must go exactly through the data points. A different problem which is closely related to interpolation is the approximation of a complicated function by a simple function.Suppose we know the function but it is too complex to evaluate efficiently.elated concepts Edit. The term extrapolation is used if we want to find the value of f at a point x which is outside of the points x k at which f is given. In curve fitting problems, the constraint that the interpolant has to go exactly through the data points is relaxed.