Hö Ho - ongelijkheid

Vind alle $\alpha, \beta >0$ zodat geldt $\forall x_1,x_2,\cdots, x_n,y_1,\cdots, y_n >0$ dat $(\sum x_{i}^\alpha)^{\frac{1}{\alpha}}(\sum y_{i}^\beta)^{\frac{1}{\beta}}{\geq\sum x_{i}y_{i}$