Browsing by Subject "Projection section inequality"

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    On Rogers-Shephard type inequalities for thelattice point enumerator
    (World Scientific Publishing, 2022-02-25) Alonso Gutiérrez, David; Lucas Marín, Eduardo; Yepes Nicolás, Jesús; Matemáticas
    Abstract. In this paper we study various Rogers-Shephard type inequalities for the lattice point enumerator Gn(·) on Rn. In particular, for any non-empty convex bounded sets K,L ⊂ Rn. Additionally, a discrete counterpart to a classical result by Berwald for concave functions, from which other discrete Rogers-Shephard type inequalities may be derived, is shown. Furthermore, we prove that these new discrete analogues for Gn(·) imply the corresponding results involving the Lebesgue measure.