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Results tagged with approximation-theory
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user 113699
Approximation theory is concerned with how functions can best be approximated with simpler functions, and with quantitatively characterizing the errors introduced thereby.
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Covering number of smooth functions from $\mathbb{R}^d$ to $\mathbb{R}$
Let $(\mathcal{X},d)$ be a space of function $f: \mathbb{R}^d \to \mathbb{R}$ where $d=\| \cdot \|_\infty$ (i.e., $d(f)= \sup_{x\in \mathbb{R}^d} |f(x)|$ ).
Let $D_\alpha f= \frac{\partial^\alpha}{ …
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