MathDB
Find the maximum value of M

Source: Turkey National Olympiad Second Round 2013 P5

November 28, 2013
inequalities proposedinequalities

Problem Statement

Find the maximum value of MM for which for all positive real numbers a,b,ca, b, c we have a3+b3+c3−3abc≥M(ab2+bc2+ca2−3abc) a^3+b^3+c^3-3abc \geq M(ab^2+bc^2+ca^2-3abc)
Back to ProblemsView on AoPS