2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115109In this paper we establish Minkowski inequality and Brunn--Minkowski inequality for $p$-quermassintegral differences of convex bodies. Further, we give Minkowski inequality and Brunn--Minkowski inequality for quermassintegral differences of mixed projection bodies.11 pagesMetric Geometry52A40On $\pmb{p}$-quermassintegral differences functiontext