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math.MG2021★ 4 cited
Covering functionals of convex polytopes with few vertices
Xia Li, Lingxu Meng, Senlin Wu
By using elementary yet interesting observations and refining techniques used in a recent work by Fei Xue et al., we present new upper bounds for covering functionals of convex pol…
math.MG2021
Homothetic covering of convex hulls of compact convex sets
Senlin Wu, Keke Zhang, Chan He
Let be a compact convex set and be a positive integer. The covering functional of with respect to is the smallest such that can be covered by tr…
math.FA2021
Divide bounded sets into sets having smaller diameters
Yanlu Lian, Senlin Wu
For each positive integer and each real finite dimensional Banach space , we set to be the infimum of such that each set having diameter $…