On Rogers–Shephard-type inequalities for the lattice point enumerator
On Rogers–Shephard-type inequalities for the lattice point enumerator
In this paper, we study various Rogers–Shephard-type inequalities for the lattice point enumerator [Formula: see text] on [Formula: see text]. In particular, for any non-empty convex bounded sets [Formula: see text], we show that [Formula: see text] and [Formula: see text] for [Formula: see text], [Formula: see text]. Additionally, a …