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Aczel's Inequality

From AoPSWiki

Aczel's Inequality states that if $a_1^2>a_2^2+\cdots +a_n^2$ , then

$(a_1b_1-a_2b_2-\cdots -a_nb_n)^2\geq (a_1^2-a_2^2-\cdots -a_n^2)(b_1^2-b_2^2-\cdots -b_n^2).$

Proof

This proof is incomplete. You can help us out by completing it.

See also

Inequalities

This article is a stub. Help us out by expanding it.

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Categories: Incomplete material | Inequality | Theorems | Stubs

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