摘要
通过利用Brunn-Minkowski-Firey混合体积及对偶混合体积理论,研究了Lp-截面体和对偶混合体积的相互关系,建立了关于正规化Lp-径向加及Lp-径向线性组合的Lp-截面体的Brunn-Minkowski形不等式及其隔离形式,且获得了算子Ip的一些性质.
By using Brunn-Minkowski-Firey mixed volume theory and dual mixed volume theory, associated with Lp intersection body and dual mixed volume, some dual Brunn-Minkowsld inequalities and their isolate forms are established for Lp intersection body about the normalized Lp radial addition and Lp radial linear combination. Some properties of operator Ip are given.
出处
《应用数学和力学》
CSCD
北大核心
2007年第12期1493-1501,共9页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(10671117)
