科研之友
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摘要
Lutwak introduced the L-p-difference body of a convex body as the Firey L-p-combination of the body and its reflection at the origin. In this paper, we define the notion of asymmetric L-p-difference bodies and study some of their properties. In particular, we determine the extremal values of the volumes of asymmetric L-p-difference bodies and their polars, respectively.
