Ky Fan Inequality - Remark

Remark

Let

denote the arithmetic and geometric mean, respectively, of x1, . . ., xn, and let

denote the arithmetic and geometric mean, respectively, of 1 − x1, . . ., 1 − xn. Then the Ky Fan inequality can be written as

which shows the similarity to the inequality of arithmetic and geometric means given by GnAn.

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