%0 Journal Article %T <i>L<sub>p</sub></i>对偶Brunn-Minkowski不等式<br><i>L<sub>p</sub></i> Dual Brunn-Minkowski Inequality %A 杨林 %A 罗淼 %A 王贺军< %A br> %A YANG Lin %A LUO Miao %A WANG He-jun %J 西南大学学报(自然科学版) %D 2017 %R 10.13718/j.cnki.xdzk.2017.10.012 %X 通过对<i>L<sub>p</sub></i>对偶Brunn-Minkowski理论的研究,并运用Beckenbach-Dresher's不等式,得到较<i>L<sub>p</sub></i>对偶Brunn-Minkowski不等式更一般的结果.<br>In this paper, we study the <i>L<sub>p</sub></i> dual Brunn-Minkowski theory, by applying the Beckenbach-Dresher's inequality and the reverse Beckenbach-Dresher's inequality, we obtain the more widely <i>L<sub>p</sub></i> dual Brunn-Minkowski inequality and reverse <i>L<sub>p</sub></i> dual Brunn-Minkowski inequality %K 星体 %K Beckenbach-Dresher's不等式 %K < %K i> %K L< %K sub> %K p< %K /sub> %K < %K /i> %K 对偶Brunn-Minkowski不等式< %K br> %K star body %K < %K i> %K L< %K sub> %K p< %K /sub> %K < %K /i> %K dual Brunn-Minkowski inequality %K Beckenbach-Dresher's inequality %U http://xbgjxt.swu.edu.cn/jsuns/html/jsuns/2017/10/201710012.htm