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On the L p -dual mixed volumes
Authors:Lian Ying Chen  Chang Jian Zhao
Institution:1. Department of Mathematics, China Jiliang University, Hangzhou, 310018, P. R. China
Abstract:We establish the cyclic inequality for i-th L p -dual mixed volume and L p -dual Urysohn inequality between p-mean width and L p -dual quermassintegral. Moreover, the dual isoperimetric inequality for L p -dual mixed volume is proved, which is an extension of the classical dual isoperimetric inequality.
Keywords:Dual mixed volume  Lp-dual mixed volume  mean width  Lp-mean width  dual isoperi-metric inequality  Lp-dual quermassintegral
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