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Wang and Ma introduced the notion of asymmetric Lₚ -difference bodies. They further gave the extrema of volumes for the asymmetric Lₚ -difference body and its polar. Thereafter, Shi and Wang obtained their versions of quermassintegrals and dual quermassintegrals. In this paper, we determine the extrema of the q -quermassintegrals and dual q -quermassintegrals for the asymmetric Lₚ -difference bodies.
Wang et al. (Sun,) studied this question.