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If a, b, c are natural numbers, prove th...

If a, b, c are natural numbers, prove that `((a^2+b^2+c^2)/(a+b+c))^(a+b+c)gea^ab^bc^cge((a+b+c)/3)^(a+b+c)`.

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A DAS GUPTA-Progression, Related Inequalities and Series-Exercise
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