grandes-ecoles 2013 Q11a

grandes-ecoles · France · x-ens-maths2__mp Proof Direct Proof of an Inequality

Let $s \in ]0,1[$. Show that if $a, b \geq 0$, then $a^{s} + b^{s} \leq 2^{1-s}(a+b)^{s}$.

Let $s \in ]0,1[$. Show that if $a, b \geq 0$, then $a^{s} + b^{s} \leq 2^{1-s}(a+b)^{s}$.