If a, b > 0, then a e a + b e b ≥ a e b + b e a . {\displaystyle a^{ea}+b^{eb}\geq a^{eb}+b^{ea}.} This inequality was solved by S.Manyama in AJMAA,Vol.7,Issue 2,No.1,2010 and by V.Cirtoaje in JNSA, Vol.4, Issue 2, 130–137, 2011.
Αν a, b > 0, τότε a e a + b e b ≥ a e b + b e a . {\displaystyle a^{ea}+b^{eb}\geq a^{eb}+b^{ea}.\,} Αυτή η ανισότητα λύθηκε από τον S.Manyama in AJMAA,Vol.7,Issue 2,No.1,2010 και από τον V.Cirtoaje in JNSA,Vol.4,Issue 2,130-137,2011.