Question Number 149866 by mathdanisur last updated on 07/Aug/21

let 2≤k<3 ; x,y,z>0 and x+y+z=3 prove that: x^k y + y^k z + z^k x ≤ max (3 , ((3^(k+1) k^k )/((k+1)^(k+1) )))