I'm reading Kazarinoff's "Analytic Inequalities". Here:
I don't know how to solve this problem. I have tried induction and some combinations of previously given Inequalities in the book. Until now, I've seen:
- The AMGM inequality;
I am aware that there may be an immediate solution with calculus but no calculus was mentioned until the present moment in the book. Is there a non-calculus way to prove that? Could you give me a hint? I prefer a hint and not a full solution.