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arxiv: 1310.6534 · v1 · pith:VPKJHOXBnew · submitted 2013-10-24 · 🧮 math.MG

A remark on perimeter-diameter and perimeter-circumradius inequalities under lattice constraints

classification 🧮 math.MG
keywords inequalitieslatticeaddressedcasesconstraintsconvexfocusfunctionals
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In this note, we study several inequalities involving geometric functionals for lattice point-free planar convex sets. We focus on the previously not addressed cases perimeter--diameter and perimeter--circumradius.

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