133054 20241125101122.0 doi 10.1142/S0219199722500225 sideral 129537 ART-2023-129537 eng Alonso-Gutiérrez, D. Universidad de Zaragoza (orcid)0000-0003-1256-3671 On Rogers-Shephard-type inequalities for the lattice point enumerator 2023 Access copy available to the general public Unrestricted In 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. info:eu-repo/grantAgreement/ES/DGA/E48-20R info:eu-repo/grantAgreement/ES/MICINN PID2019-105979GB-I00 info:eu-repo/grantAgreement/ES/MICINN/PGC2018-097046-B-I00 info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 1.2 2023 MATHEMATICS 80 / 490 = 0.163 2023 Q1 T1 MATHEMATICS, APPLIED 140 / 332 = 0.422 2023 Q2 T2 1.264 2023 Mathematics (miscellaneous) 2023 Q1 Applied Mathematics 2023 Q1 2.9 2023 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Lucas, E. Yepes Nicolás, J. 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 25, 8 (2023), 2250022 [30 pp.] Commun. Contemp. Math. Communications in Contemporary Mathematics 0219-1997 479904 http://zaguan.unizar.es/record/133054/files/texto_completo.pdf Postprint 1501211 http://zaguan.unizar.es/record/133054/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:133054 articulos driver 2024-11-22-11:56:57 ARTICLE