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.

The option InterpolationPrecision specifies the precision of values to be returned by the InterpolatingFunction generated.

See notes for Interpolation.

See The Mathematica Book: Section 3.8.2.

See also: ListInterpolation, InterpolatingPolynomial, Table.

Further Examples