%0 Journal Article %T A remark on perimeter-diameter and perimeter-circumradius inequalities under lattice constraints %A Bernardo Gonz¨˘lez Merino %A Matthias Henze %J Mathematics %D 2013 %I arXiv %X 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. %U http://arxiv.org/abs/1310.6534v1