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Covering numbers for bounded variation functions

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arxiv 1805.09883 v1 pith:DU76DVE6 submitted 2018-05-24 math.FA

Covering numbers for bounded variation functions

classification math.FA
keywords boundedfunctionsvariationaccuracycoveringdistanceepsilonestimates
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In this paper, we provide upper and lower estimates for the minimal number of functions needed to represent a bounded variation function with an accuracy of epsilon with respect to ${\bf L}^1$-distance.

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