Question: If y, 0, i = 1,..., m, and a, 0, i = 1,..., m, with a = 1, then prove that , . (Hint: Let

If y, ≥0, i = 1,..., m, and

a, ≥0, i = 1,..., m, with Σa₁ = 1, then prove that

ΠΣ", αιγ. (Hint: Let x; = logy, and use Jensen's inequality.)

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