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math.MG2017
Approximations of convex bodies by measure-generated sets
Han Huang, Boaz A. Slomka
Given a Borel measure on , we define a convex set by \[ M(μ)=\bigcup_{\substack{0\le f\le1,\\ \int_{{\mathbb R}^{n}}f\,{\rm d}μ=1 } }\left\{ \int_{{\mathbb R}^…
math.FA2017
Functional Covering Numbers
Shiri Artstein-Avidan, Boaz A. Slomka
We define covering and separation numbers for functions. We investigate their properties, and show that for some classes of functions there is exact equality of separation and cove…