000119760 001__ 119760 000119760 005__ 20241125101128.0 000119760 0247_ $$2doi$$a10.1093/imrn/rnab273 000119760 0248_ $$2sideral$$a128853 000119760 037__ $$aART-2023-128853 000119760 041__ $$aeng 000119760 100__ $$0(orcid)0000-0003-1256-3671$$aAlonso-Gutierrez, David$$uUniversidad de Zaragoza 000119760 245__ $$aSections of convex bodies in John''s and minimal surface area position 000119760 260__ $$c2023 000119760 5060_ $$aAccess copy available to the general public$$fUnrestricted 000119760 5203_ $$aWe prove several estimates for the volume, the mean width, and the value of the Wills functional of sections of convex bodies in John''s position, as well as for their polar bodies. These estimates extend some well-known results for convex bodies in John''s position to the case of lower-dimensional sections, which had mainly been studied for the cube and the regular simplex. Some estimates for centrally symmetric convex bodies in minimal surface area position are also obtained. 000119760 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E48-20R$$9info:eu-repo/grantAgreement/ES/MICINN PID2019-105979GB-I00 000119760 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000119760 590__ $$a0.9$$b2023 000119760 591__ $$aMATHEMATICS$$b146 / 490 = 0.298$$c2023$$dQ2$$eT1 000119760 594__ $$a2.0$$b2023 000119760 592__ $$a1.337$$b2023 000119760 593__ $$aMathematics (miscellaneous)$$c2023$$dQ1 000119760 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000119760 700__ $$aBrazitikos, Silouanos 000119760 7102_ $$12006$$2015$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Análisis Matemático 000119760 773__ $$g2023, 1 (2023), 243-297$$pInt. math. res. not.$$tINTERNATIONAL MATHEMATICS RESEARCH NOTICES$$x1073-7928 000119760 8564_ $$s511875$$uhttps://zaguan.unizar.es/record/119760/files/texto_completo.pdf$$yPostprint 000119760 8564_ $$s1577003$$uhttps://zaguan.unizar.es/record/119760/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000119760 909CO $$ooai:zaguan.unizar.es:119760$$particulos$$pdriver 000119760 951__ $$a2024-11-22-11:58:15 000119760 980__ $$aARTICLE