设xi,yi∈R+,1≤i≤n.求证：x_i,y_i∈R_+,1≤i≤n.求证：xi,yi∈R+,1≤i≤n.求证： ∑i=1nxi32yi12≥(∑i=1nxi)32(∑i=1nyi)12.\sum_{i=1}^{n}\frac{x_i^{\frac{3}{2}}}{y_i^{\frac{1}{2}}}≥\frac{(\sum_{i=1}^{n}x_i)^{\frac{3}{2}}}{(\sum_{i=1}^{n}y_i)^{\frac{1}{2}}}.∑i=1nyi21xi23≥(∑i=1nyi)21(∑i=1nxi)23.
