- E16
[1V7] Prove Young’s inequality: fixed \(a,b{\gt}0\), \(p,q{\gt}1\) such that \(1/p + 1/q = 1\) then
\begin{equation} ab≤ \frac{a^ p} p+\frac{b^ q} q\label{eq:dis_ Young_ fun} \end{equation}17with equality if and only if \(a^ p = b^ q\); prove this using an appropriate function study.
Solution 1See also [194].
EDB — 1V7
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Authors:
"Mennucci , Andrea C. G."
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