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There is another way to approach evaluating ,
when g is neither monotonically increasing nor monotonically
decreasing. We consider g such that
.
Restricting our attention to continuous g, we may find
an upper bound without splitting g into two parts.
Consider the following chart, a chart
where and .
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: 3.3 Linear Interval Arithmetic
Up: 3.2 Constant Interval Arithmetic
Previous: 3.2.27 Example with a Partial