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Standard inequality that I cannot find elsewhere

Source: Germany 2004 - Problem 5

December 17, 2022
inequalities

Problem Statement

Prove that for four positive real numbers a,b,c,da,b,c,d the following inequality holds and find all equality cases: a3+b3+c3+d3≥a2b+b2c+c2d+d2a.a^3 +b^3 +c^3 +d^3 \geq a^2 b +b^2 c+ c^2 d +d^2 a.
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