The Lagrange form of the interpolation polynomial shows the linear character of polynomial interpolation and the uniqueness of the interpolation polynomial.
12.
In the Chinese approach to polynomial interpolation, the motivation was to predict the motion of celestial bodies from observed data.
13.
Alternatively polynomial interpolation or spline interpolation is used where piecewise polynomial functions are fit into time intervals such that they fit smoothly together.
14.
When function evaluations are expensive, it may be preferable to replace the polynomial interpolation of Richardson with the rational interpolation proposed by.
15.
,in their discussion of the method, say that rational extrapolation in this case is nearly never an improvement over polynomial interpolation.
16.
The receiver can now also use polynomial interpolation to recover the lost packets, provided he receives " k " symbols successfully.
17.
But it should be pointed out that a polynomial interpolation's error approaches zero, as the interpolation point approaches a data-point.
