Graphics Reference
In-Depth Information
One can also show that the error in our approximation is
1
135
f
()
(
x
4
for some xŒ(-1,1).
In summary, Gaussian quadrature gives extremely good accuracy for smooth func-
tions with a relative few number of function evaluations. It often also works well for
functions that are not so well behaved. It cannot in general be used if only a prede-
termined finite number of values of the function are known because one needs the
values at the Gaussian zeros.
