Lutwak and Zhang introduced -centroid bodies and established the -centro-affine inequality. Thereafter, Lutwak, Yang and Zhang established the -Busemann–Petty centroid inequality. In this paper, we give the inequalities of dual quermassintegrals, dual affine quermassintegrals and dual harmonic quermassintegrals for polar -centroid bodies.
"DUAL TYPE QUERMASSINTEGRAL INEQUALITIES FOR POLAR -CENTROID BODIES." Rocky Mountain J. Math. 53 (5) 1635 - 1644, October 2023. https://doi.org/10.1216/rmj.2023.53.1635