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摘要


In this note we present a proof of the inequality H_n/H'_n ≤ G_n/G'_n where H_n and G_n (resp. H'_n and G'_n) denote the weighted harmonic and geometric means of x_1,...,x_n (resp. 1-x_1,...,1-x_n) with x_i ∈ (0, 1/2], I = 1,...,n.

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