Let $\displaystyle (X,F,\mu)=([0,a],\beta, \Lambda)$ be the usual Lebesgue measurable space.

Using Holder inequality, prove Minkowski inequality for any $\displaystyle f \in L^2(X),g \in L^2(X)$, that is $\displaystyle ||f+g||_2 \leq ||f||_2 +||g||_2$

i am stuck and dont know what to do. any help would be appreciated.