Differences of quermass- and dual quermassintegrals of Blaschke-Minkowski and radial Blaschke-Minkowski homomorphisms (Q475781)

Considering differences of quermassintegrals and dual quermassintegrals of the so called Blaschke-Minkowski and radial Blaschke-Minkowski homomorphisms, the authors provide Minkowski, Brunn-Minkowski and Aleksandrov-Fenchel type inequalities for these. They establish also some straightforward inequalities on quermassintegral differences involving the mixed intersection and mixed projection body operators. The proofs follow essentially the ideas contained in a series of papers authored by C. J. Zhao et al. on volume differences, supported now by strong known results on Blaschke-Minkowski homomorphisms, mixed projection and mixed intersection bodies.