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Inequalities of 3 positive numbers
04-14-2010, 02:21 PM
Post: #1
Inequalities of 3 positive numbers
(1)\(\sqrt{\frac{a}{2a+3b+4c}}+\sqrt{\frac{b}{2b+3c+4a}}+\sqrt{\frac{c}{2c+3a+4b​}}\le 1\)
(2)\(\sqrt{\frac{a}{a+2b+3c}}+\sqrt{\frac{b}{b+2c+3a}}+\sqrt{\frac{c}{c+2a+3b}} \le \sqrt{\frac{2}{3}}\)
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