Mongolian TST 2008
Source: Day2 Problem3
May 17, 2008
inequalitiesalgebrapolynomialthree variable inequality
Problem Statement
Find the maximum number such that for any nonnegative the inequality
x^3 \plus{} y^3 \plus{} z^3 \plus{} C(xy^2 \plus{} yz^2 \plus{} zx^2) \ge (C \plus{} 1)(x^2 y \plus{} y^2 z \plus{} z^2 x) holds.