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Inequalities and...inequalities
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Mathematics, mathematics, mathematics. This much mathematics? No, even more!
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Inequalities and...inequalities
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2026-03-02 15:52:01
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Inequalities and...inequalities | Mathematics, mathematics, mathematics. This much mathematics? No, even more! Primary Menu Skip to content Home About me Inequality Books My teacher Problems Inequalities and…inequalities Mathematics, mathematics, mathematics. This much mathematics? No, even more! Post navigation ← Older posts Inequality 57 (George Basdekis) Posted on October 12, 2014 by Basdekis George | Leave a comment Problem: If are non-negative real numbers with sum equal to then find the maximum value of the expression Solution: First we may, without loss of generality, assume that Now, we shall prove that It holds that Therefore, we only need to prove that For we get or equivalently the above Inequality reduces to the But this one holds due to the AM-GM Inequality since we have Now, for on the other side, we only need to show that or But, again, from the AM-GM Inequality we acquire So, finally, we are ...
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