In the book ”Old and New Inequalities” by Titu Andreescu, Gabriel Dospinescu, Vasile Cîrtoaje and Mircea Lascu the following inequality appears as problem 19, b)
[Marian Tetiva] Let be positive real numbers satisfying the condition
Prove that
Solution 1:
Clearly . The given relation rewrites as , or .
Let . Then for the inequality to be true, it’s enough to [...]
Filed under: Elementary Mathematics, Inequalities | 1 Comment »
