with strict inequalities if x= 1= y. Division by y shows that (2) is equivalent to wellknown
inequalities in the single variable w= xfy, but the beauty of (2) comes from its symmetry in …

Note that L is symmetric and homogeneous in x and y and continuous at x= y. It is not widely
known that L separates the arithmetic and geometric means:(2)(xy)< L (x, y)<-2 Y, with strict …