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Soient \(a_{1}, \ldots, a_{n},b_{1}, \ldots, b_{n}, c_{1}, \ldots, c_{n}\) des
réels positifs.
Montrer que \(\sum\limits_{k = 1}^{n}{a_{k}b_{k}c_{k}} \leq
\sum\limits_{k = 1}^{n}{a_{k}^{2}c_{k}} \sum\limits_{k = 1}^{n}{b_{k}^{2}c_{k}}\).
Soient \(a_{1}, \ldots, a_{n},b_{1}, \ldots, b_{n}, c_{1}, \ldots, c_{n}\) des
réels positifs.
Montrer que \(\sum\limits_{k = 1}^{n}{a_{k}b_{k}c_{k}} \leq
\sum\limits_{k = 1}^{n}{a_{k}^{2}c_{k}} \sum\limits_{k = 1}^{n}{b_{k}^{2}c_{k}}\).