MathDB
Find the least real number

Source: China south east mathematical olympiad 2006 day2 problem 6

July 4, 2013
inequalitiesinequalities unsolved

Problem Statement

Find the minimum value of real number mm, such that inequality m(a3+b3+c3)≥6(a2+b2+c2)+1m(a^3+b^3+c^3) \ge 6(a^2+b^2+c^2)+1 holds for all positive real numbers a,b,ca,b,c where a+b+c=1a+b+c=1.
Back to ProblemsView on AoPS