I have the following equations and inequalities: 1 = A ′ + B ′ 1...
I have the following equations and inequalities:
All variables are bounded below by zero and above by one.
I wonder if I can find an analytic expression for the upper and lower bounds for the difference
Answer & Explanation
For the upper bound clearly we need to take , and . In which case the problem comes down to finding the maximum value of which is obtained if so an upper bound is . For a lower bound clearly we need to take , and , so we have to find the minimum value of for , which is obtained if . So a lower bound is .