On Rogers-Shephard-type inequalities for the lattice point enumerator

Alonso-Gutiérrez, D. (Universidad de Zaragoza) ; Lucas, E. ; Yepes Nicolás, J.

Resumen: 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.

Idioma: Inglés

DOI: 10.1142/S0219199722500225

Año: 2023

Publicado en: Communications in Contemporary Mathematics 25, 8 (2023), 2250022 [30 pp.]
ISSN: 0219-1997

Factor impacto JCR: 1.2 (2023)

Categ. JCR: MATHEMATICS rank: 80 / 489 = 0.164 (2023) - Q1 - T1
Categ. JCR: MATHEMATICS, APPLIED rank: 140 / 331 = 0.423 (2023) - Q2 - T2

Factor impacto CITESCORE: 2.9 - Mathematics (all) (Q1) - Applied Mathematics (Q2)

Factor impacto SCIMAGO: 1.264 - Mathematics (miscellaneous) (Q1) - Applied Mathematics (Q1)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E48-20R
Financiación: info:eu-repo/grantAgreement/ES/MICINN PID2019-105979GB-I00
Financiación: info:eu-repo/grantAgreement/ES/MICINN/PGC2018-097046-B-I00

Tipo y forma: Artículo (PostPrint)

Área (Departamento): Área Análisis Matemático (Dpto. Matemáticas)