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Results tagged with approximation-theory
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user 12383
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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Are piecewise linear curves dense among Hölder curves?
To expand on fedja's comment :
For $p>1$, a function $f$ on $[0,1]$ is in the $p$-variation closure of smooth functions $C^{0,p-var}$ iff
$$\lim_{\delta \rightarrow 0}\;\;\; \sup_{\substack{0=t_0<\l …
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