- #1
aetherane
- 2
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Frequently, I have encountered optimization problems which involve finding the optimal function to maximize the ratio of two integrals (bounds from 0 to infinity). e.g: Maximize [tex]\frac{\int_0^\infty (g(x))^3 g'(x) dx}{\int_0^\infty (g(x))^3(1-g(x)) dx}[/tex]
I am aware that variational calculus works on a single integral, but is there a general approach that might work for these types of problems?
I am aware that variational calculus works on a single integral, but is there a general approach that might work for these types of problems?