2. Interpolation
2.1 Interpolation polynomial and its calculation
Let f be a real function of a real variable (or, which makes no difference, a complex function of a complex variable). We assume that we know the values of f (x0 ), f (x1 ), ..., f (x n ) and we look for a polynomial P such that :
P is said to be the interpolating polynomial of f (or to interpolatef ) in x 0 , x 1, ..., x n . We have the fundamental result of Theorem 3 by assuming that at least one of the quantities f (x i ) is non-zero.
Theorem 3. A necessary and sufficient...
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Interpolation
Digital quadrature
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