EDB — 1F7

Exercises

1. [1F7]Difficulty:* . Given $x_0<x_1<x_2<\dots <x_n$ and given real numbers $a_{i,h}$ (with $i,h=0,\dots n$) show that there is a polynomial $p(x)$ such that $p^{(i)}(x_h)=a_{i,h}$.

   This result is the starting point of the Hermit method of polynomial interpolation, see [ 49 ] .

   Solution 1

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