MathDB
two positive reals

Source: Russian 2007

August 25, 2007
inequalitieslogarithmsinequalities proposed

Problem Statement

Prove that the inequality (x^{k}\minus{}y^{k})^{n}<(x^{n}\minus{}y^{n})^{k} holds forall reals x>y>0 x>y>0 and positive integers n>k n>k.
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