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On the L_p-Dual Mixed Volumes

On the L_p-Dual Mixed Volumes
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摘要 We establish the cyclic inequality for i-th L p-dual mixed volume and Lp-dual Urysohn inequality between p-mean width and Lp-dual quermassintegral. Moreover, the dual isoperimetric inequality for Lp-dual mixed volume is proved, which is an extension of the classical dual isoperimetric inequality. We establish the cyclic inequality for i-th L p-dual mixed volume and Lp-dual Urysohn inequality between p-mean width and Lp-dual quermassintegral. Moreover, the dual isoperimetric inequality for Lp-dual mixed volume is proved, which is an extension of the classical dual isoperimetric inequality.
作者 Lian Ying CHEN Chang Jian ZHAO
机构地区 Department of Mathematics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2013年第9期1647-1654,共8页 数学学报（英文版）
基金 supported by National Natural Science Foundation of China (Grant No. 10971205)
关键词 Dual mixed volume Lp-dual mixed volume mean width Lp-mean width dual isoperi-metric inequality Lp-dual quermassintegral Dual mixed volume Lp-dual mixed volume mean width Lp-mean width dual isoperi-metric inequality Lp-dual quermassintegral
分类号 O178 [理学—基础数学]
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参考文献12

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Acta Mathematica Sinica,English Series
2013年 第9期

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