Say $a,b >0 $ and an integer $p >1$
Prove that $(a+b)^p < 2^{p-1}(a^p+b^p)$
I don't even know how to start, this exercise is on a convexity, concavity and Taylor practice, so my guess is that it is done with convexity.
Say $a,b >0 $ and an integer $p >1$
Prove that $(a+b)^p < 2^{p-1}(a^p+b^p)$
I don't even know how to start, this exercise is on a convexity, concavity and Taylor practice, so my guess is that it is done with convexity.
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