doi:10.1142/S0219199722500225engAlonso-Gutiérrez, D.Lucas, E.Yepes Nicolás, J.On Rogers-Shephard-type inequalities for the lattice point enumeratorART-2023-129537In this paper, we study various Rogers-Shephard-type inequalities for the lattice point enumerator Gn(·) on R n. In particular, for any non-empty convex bounded sets K, L, R n, we show that {equation presented} 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. © 2022 World Scientific Publishing Company.2023http://zaguan.unizar.es/record/13305410.1142/S0219199722500225http://zaguan.unizar.es/record/133054oai:zaguan.unizar.es:133054info:eu-repo/grantAgreement/ES/DGA/E48-20Rinfo:eu-repo/grantAgreement/ES/MICINN PID2019-105979GB-I00info:eu-repo/grantAgreement/ES/MICINN/PGC2018-097046-B-I00Communications in Contemporary Mathematics 25, 8 (2023), 2250022 [30 pp.]byhttp://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccess