Oops, I just looked at your screenshot without checking the actual problem on the sheet...
I also did not find a suitable inequality in the lecture script, so thanks for pointing that out!
I also did not find a suitable inequality in the lecture script, so thanks for pointing that out!
In this step of the derivation we can apply Hoeffding's lemma. The linked wiki article shows the step-by-step derivation involving the arithmetic mean-geometric mean inequality + Taylor's Theorem.
Hope this helps.
Best,
Thomas
Hope this helps.
Best,
Thomas
