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5 lines for Turkevici's Inequality

Source: using classical inequality

November 15, 2008
inequalitiessymmetrysearchinequalities proposed

Problem Statement

Let a,b,c,d a,b,c,d be nonnegative real numbers. Prove that a^4\plus{}b^4\plus{}c^4\plus{}d^4\plus{}2abcd \ge a^2b^2\plus{}a^2c^2\plus{}a^2d^2\plus{}b^2c^2\plus{}b^2d^2\plus{}c^2d^2.
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