FunctionInterpolation
FunctionInterpolation[expr, 
x, xmin, xmax
] evaluates expr with x running from xmin to xmax and constructs an InterpolatingFunction object which represents an approximate function corresponding to the result.
FunctionInterpolation[expr, 
x, xmin, xmax
, 
y, ymin, ymax
, ... ] constructs an InterpolatingFunction object with several arguments.
You can use FunctionInterpolation to generate a single InterpolatingFunction object from an expression containing several such objects.
See notes for Interpolation.
See The Mathematica Book on the web: Section 3.8.2.
See also: InterpolatingPolynomial, Table.
Further Examples
