4 citations · 5 across the 6 of their papers we have counts for
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math.FA2019
Metric entropy for functions of bounded total generalized variation
Rossana Capuani, Prerona Dutta, Khai T. Nguyen
We establish a sharp estimate for a minimal number of binary digits (bits) needed to represent all bounded total generalized variation functions taking values in a general totally…
math.FA2018
Covering numbers for bounded variation functions
Prerona Dutta, Khai T. Nguyen
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…
math.FA2018
Lyapunov's theorem via Baire category
Marco Mazzola, Khai T. Nguyen
Lyapunov's theorem is a classical result in convex analysis, concerning the convexity of the range of nonatomic measures. Given a family of integrable vector functions on a compact…