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  1. [18K]Si mostri che una funzione continua \(f : (a, b) β†’ ℝ\) Γ¨ convessa se e soltanto se per ogni \(u, v ∈ (a, b)\) si ha

    \[ f\left(\frac{u+v} 2\right) ≀ \frac{f (u) + f (v)} 2\quad . \]
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Authors: "Mennucci , Andrea C. G." .
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  • funzione, convessa
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