Dual mixed Orlicz-Brunn-Minkowski inequality and dual Orlicz mixed quermassintegrals

The dual Orlicz-Brunn-Minkowski inequality is extended from volume to dual quermassintegrals. As application, a dual mixed log-Brunn-Minkowski inequality is obtained. Moreover, dual Orlicz mixed quermassintegrals are defined and a dual Orlicz-Minkowski inequality and a dual mixed log-Minkowski inequality are established.