Sierpiński’s inequality

Let An, Gn and Hn be the arithmetic mean, geometric mean, and harmonic mean of a set of n numbers. When n = 2, the arithmetic mean times the harmonic mean is the geometric mean squared. The proof is simple: When n > 2 we no longer have equality. However, W. Sierpiński, perhaps best known […] The post Sierpiński’s inequality first appeared on John D. Cook....

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