Exercises
[1TT]Suppose that \(f:βββ\) is a function such that \(f{\gt}0\) and \(\log (f(x))\) is convex: can it be deduced that \(f\) is convex? If it is true, prove it. If it is not true, produce an example.
[1TT]Suppose that \(f:βββ\) is a function such that \(f{\gt}0\) and \(\log (f(x))\) is convex: can it be deduced that \(f\) is convex? If it is true, prove it. If it is not true, produce an example.