Editing Trapezoidal rule (section)

=== "Rough" functions ===
For functions that are not in [[Smoothness|''C''<sup>2</sup>]], the error bound given above is not applicable. Still, error bounds for such rough functions can be derived, which typically show a slower convergence with the number of function evaluations <math>N</math> than the <math>O(N^{-2})</math> behaviour given above. Interestingly, in this case the trapezoidal rule often has sharper bounds than [[Simpson's rule]] for the same number of function evaluations.<ref name="cun02" />