MathDB
Easy inequality

Source: Chinese TST

April 6, 2008
inequalitiesalgebrapolynomialinequalities proposed

Problem Statement

Let x,y,z x,y,z be positive real numbers, show that \frac {xy}{z} \plus{} \frac {yz}{x} \plus{} \frac {zx}{y} > 2\sqrt [3]{x^3 \plus{} y^3 \plus{} z^3}.