Hi,

I'm stuck with this problem to reconstruct a function:

$\displaystyle

\forall i \in 1..N \bigg\{ \begin{array}{l}

f(x_i) = i \\

f(2*x_i) = g(i)

\end{array}

$

I know function $\displaystyle g(x)$ and I would like to get an approximation of $\displaystyle f(x)$. Both f and g are monotonic increasing. Any hint on where to start would be greatly appreciated.

I don't know if this is the correct forum for this post, so please redirect me to another one if necessary.

Thanks in advance