Ky Fan’s inequality

Let with each component satisfying 0 < xi ≤ 1/2. Define the complement x′ by taking the complement of each entry. Let G and A represent the geometric and arithmetic mean respectively. Then Ky Fan’s inequality says Now let H be the harmonic mean. Since in general H ≤ G ≤ A, you might guess that […] The post Ky Fan’s inequality first appeared on John D. Cook....

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