MathDB
inequality (maybe posted before?)

Source: flanders '93

September 27, 2005
inequalities

Problem Statement

For a,b,c>0a,b,c>0 we have: −1<(a−ba+b)1993+(b−cb+c)1993+(c−ac+a)1993<1 -1 < \left(\dfrac{a-b}{a+b}\right)^{1993} + \left(\dfrac{b-c}{b+c}\right)^{1993} + \left(\dfrac{c-a}{c+a}\right)^{1993} < 1
Back to ProblemsView on AoPS