000133054 001__ 133054
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000133054 0247_ $$2doi$$a10.1142/S0219199722500225
000133054 0248_ $$2sideral$$a129537
000133054 037__ $$aART-2023-129537
000133054 041__ $$aeng
000133054 100__ $$0(orcid)0000-0003-1256-3671$$aAlonso-Gutiérrez, D.$$uUniversidad de Zaragoza
000133054 245__ $$aOn Rogers-Shephard-type inequalities for the lattice point enumerator
000133054 260__ $$c2023
000133054 5060_ $$aAccess copy available to the general public$$fUnrestricted
000133054 5203_ $$aIn 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.
000133054 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E48-20R$$9info:eu-repo/grantAgreement/ES/MICINN PID2019-105979GB-I00$$9info:eu-repo/grantAgreement/ES/MICINN/PGC2018-097046-B-I00
000133054 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/
000133054 590__ $$a1.2$$b2023
000133054 592__ $$a1.264$$b2023
000133054 591__ $$aMATHEMATICS$$b80 / 490 = 0.163$$c2023$$dQ1$$eT1
000133054 593__ $$aMathematics (miscellaneous)$$c2023$$dQ1
000133054 591__ $$aMATHEMATICS, APPLIED$$b140 / 332 = 0.422$$c2023$$dQ2$$eT2
000133054 593__ $$aApplied Mathematics$$c2023$$dQ1
000133054 594__ $$a2.9$$b2023
000133054 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000133054 700__ $$aLucas, E.
000133054 700__ $$aYepes Nicolás, J.
000133054 7102_ $$12006$$2015$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Análisis Matemático
000133054 773__ $$g25, 8 (2023), 2250022 [30 pp.]$$pCommun. Contemp. Math.$$tCommunications in Contemporary Mathematics$$x0219-1997
000133054 8564_ $$s479904$$uhttps://zaguan.unizar.es/record/133054/files/texto_completo.pdf$$yPostprint
000133054 8564_ $$s1501211$$uhttps://zaguan.unizar.es/record/133054/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
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000133054 951__ $$a2024-11-22-11:56:57
000133054 980__ $$aARTICLE