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Prove the inequality for a ≤ b ≤ c ≤ d - [ILL 1977]

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January 11, 2011
inequalitiesfunctioninequalities proposed

Problem Statement

If 0abcd,0 \leq a \leq b \leq c \leq d, prove that abbccddabacbdcad.a^bb^cc^dd^a \geq b^ac^bd^ca^d.