The framework presented results in the two-step method, which does not directly apply to the general exponentiation function . With appropriate extensions, the two-step method may generate valid bounds for but it will still generate bounds which are not optimal.
With the two-step method an upper bound h, of g, was found; h was then treated as a unary function so that our previous methods may be applied. We will remove the intermediate step, and consider g as a unary function of :
The relevant derivatives appear in the table following. Positive multiplicative factors were removed from some table entries. Throughout the table while .
Jeff Tupper | March 1996 |