next up previous notation contents
Next: 3.3 Linear Interval Arithmetic Up: 3.2 Constant Interval Arithmetic Previous: 3.2.27 Example with a Partial

3.2.28 Monotonically Increasing, Decreasing Functions

There is another way to approach evaluating tex2html_wrap_inline31397 , when g is neither monotonically increasing nor monotonically decreasing. We consider g such that tex2html_wrap_inline35531 . Restricting our attention to continuous g, we may find an upper bound without splitting g into two parts. Consider the following chart, a tex2html_wrap_inline34257 chart where tex2html_wrap_inline35539 and tex2html_wrap_inline35541 .

figure16738

The bound may be seen to be correct by manually factoring the above chart into two separate charts, and then reasoning as before. A lower bound would be found for the above example with the procedures outlined earier.


next up previous notation contents
Next: 3.3 Linear Interval Arithmetic Up: 3.2 Constant Interval Arithmetic Previous: 3.2.27 Example with a Partial
Jeff TupperMarch 1996