Let $x,y>0$, $a\in(0,1)$. Is true the following inequality $(x+y)^a\le x^a+y^a$?
Asked
Active
Viewed 40 times
0
-
Jensen's inequality? – VIVID Jan 19 '21 at 11:56
-
2Yes, it is true. Try to prove it by fixing $y$ and differentiating w.r.t. $x$. – Kavi Rama Murthy Jan 19 '21 at 11:59