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Can you suggest books/articles on Function approximation Let me quote from the above wiki:

Second, the target function, call it g, may be unknown; instead of an explicit formula, only a set of points of the form (x, g(x)) is provided. Depending on the structure of the domain and codomain of g, several techniques for approximating g may be applicable. For example, if g is an operation on the real numbers, techniques of interpolation, extrapolation, regression analysis, and curve fitting can be used.

Any books/articles dealing with the above mentioned problem.Preferably with examples.

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For regression, see this thread. –  J. M. Jul 22 '12 at 10:18
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