pow:problem6f22
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| pow:problem6f22 [2022/11/22 05:38] – created mazur | pow:problem6f22 [2022/11/23 05:49] (current) – mazur | ||
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| + | <box 85% round orange| Problem 6 (due on Monday, November 21)> | ||
| + | |||
| + | Prove that the inequality | ||
| + | \[ \prod_{i=1}^n\prod_{j=1}^n\left(1+|a_i+a_j|\right)\geq \prod_{i=1}^n\prod_{j=1}^n\left(1+|a_i-a_j|\right)\] | ||
| + | holds for any real numbers $a_1, | ||
| + | </ | ||
| + | |||
| + | We have not received any solutions. | ||
| + | For a detailed solution and some related problems see the following link {{: | ||