How could one obtain a function [itex]y=f(x)[/itex] that satisfies a number of data points [itex](x_{i},y_{i})[/itex]. That is how would it be possible to get a function if some points that are to lie on it have been given? I've seen some lectures on interpolation but all I've gotten is only the way to solve problems, not the exact 'why' or 'how' these tecnhiques work.
Things like direct interpolation are straightforward but Lagrange's method, Newton's Divided Difference etc are the things I'm talking about.
Things like direct interpolation are straightforward but Lagrange's method, Newton's Divided Difference etc are the things I'm talking about.