IOQM · Mathematics · Algebra
Inequalities
AM-GM, Cauchy-Schwarz, rearrangement, Jensen, power-mean and Schur — non-calculus proofs.
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For positive real numbers a, b, c with abc = 1, find the minimum value of (a + 1/b)² + (b + 1/c)² + (c + 1/a)².