Hardys theoremnbspnbspbe monotonically nondecreasing, Ask an Expert

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(Hardy's Theorem) be monotonically nondecreasing sequences of numbers. Let us associate with each i = 1,...,n a distinct index ji, and consider Use an interchange argument (cf. Exercise 10.24) to show that this expression is maximized when ji = i for all i, and is minimized when ji = n - i + 1 for all i.

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