Orlicz mixed quermassintegrals (Q2018898)

The authors extend the notion of mixed quermassintegrals from classical Brunn-Minkowski theory to Orlicz Brunn-Minkowski theory, calling it Orlicz mixed quermassintegrals. On that base they succeed to establish respective analogues of classical notions like Cauchy-Kubota formula, Minkowski's isoperimetric inequality, the Brunn-Minkowski inequality, difference bodies and further ones. They also pose an interesting problem related to the conjectured log-Minkowski inequality.