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Consider a class $ \mathcal{F}$ of continous and differentiable functions whose derivative is upper bounded by $ L$ . Let $ f \in \mathcal{F}$ , where $ f: \mathcal{X} \mapsto \mathbb{R}$ and $ \mathcal{X} = [0,T]$ for some $ T>0$ . Assume that $ f$ has a bounded energy, namely $ \int_{\mathcal{X}}|f(x)|^2 \, \mathrm{d}x$ isRead more