- E29
[1C3]Difficulty:*.Let \(f:[0,1]ββ\) be Riemann integrable and \(π:βββ\) convex: show that
\begin{equation} \label{eq:dis_ Jensen} π\left( β«_ 0^ 1f(x))\, {\mathbb {d}}x\right) β€ β«_ 0^ 1π(f(x))\, {\mathbb {d}}x \quad . \end{equation}30
EDB β 1C3
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English
Authors:
"Mennucci , Andrea C. G."
.
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- Jensen inequality
- inequality, Jensen β
- Riemann integral
- function, Riemann integrable ---
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