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Firey linear combinations of convex bodies
Authors:Ge Xiong  Qi-ming Xiao  Wing-Sum Cheung
Institution:1. Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China
2. Department of Mathematics, The University of Hong Kong, Hong Kong, P. R. China
Abstract:For convex bodies, the Firey linear combinations were introduced and studied in several papers. In this paper the mean width of the Firey linear combinations of convex bodies is studied, and the lower bound of the mean width of the Firey linear combinations of convex body and its polar body is given.
Keywords:convex body  Firey linear combination  mean width
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