I have to show the following assertion:
I know that
and for we have
Unfortunately I have no idea how to show it.
Does anyone have a hint?
Thanks in advance!
One idea I have is to use Jensens Inequality since you are dealing with a convex function log(x):
Jensen's inequality - Wikipedia, the free encyclopedia
It is just an inequality: If you know that the value is zero then it is zero.
The inequality just gives a possible range without knowing any more information: now you can add your other piece of information to reduce the inequality even further.