Dual Orlicz-Brunn-Minkowski theory: Dual Orlicz L-phi affine and geominimal surface areas

Ye Deping

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Dual Orlicz-Brunn-Minkowski theory: Dual Orlicz L-phi affine and geominimal surface areas

机译：对偶Orlicz-Brunn-Minkowski理论：对偶Orlicz L-phi仿射和最小几何表面积

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This paper aims to develop the basic theory for the dual Orlicz L-phi affine and geominimal surface areas of star bodies. Basic properties of these new affine invariants are established. Moreover, related Orlicz affine isoperimetric, cyclic, Santalo type and Alexandrov-Fenchel type inequalities are obtained. (c) 2016 Elsevier Inc. All rights reserved.

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《Journal of Mathematical Analysis and Applications》 |2016年第1期|共20页
作者
Ye Deping;
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正文语种 eng
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关键词
Affine surface area; Geominimal surface area; Orlicz-Brunn-Minkowski theory; Affine isoperimetric inequalities; Dual Orlicz-Brunn-Minkowski theory;

机译：仿射表面积;最小表面积;Orlicz-Brunn-Minkowski理论;仿射等距不等式;双重Orlicz-Brunn-Minkowski理论;

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专利

1. Dual Orlicz-Brunn-Minkowski theory: Dual Orlicz L-phi affine and geominimal surface areas [J] . Ye Deping Journal of Mathematical Analysis and Applications . 2016,第1期

机译：对偶Orlicz-Brunn-Minkowski理论：对偶Orlicz L-phi仿射和最小几何表面积
2. The dual Orlicz-Brunn-Minkowski theory [J] . Gardner Richard J., Hug Daniel, Weil Wolfgang, Journal of Mathematical Analysis and Applications . 2015,第2期

机译：对偶Orlicz-Brunn-Minkowski理论
3. Dual Orlicz-Brunn-Minkowski theory [J] . Zhu Baocheng, Zhou Jiazu, Xu Wenxue Advances in Mathematics . 2014,第Null期

机译：对偶Orlicz-Brunn-Minkowski理论
4. A MYSTERIOUS DUALITY: M-THEORY AND DEL PEZZO SURFACES [C] . ANDREW NEITZKE NATO advanced study institute on progress in string, field and particle theory . 2003

机译：一个神秘的二元性：M-理论和Del Pezzo表面
5. Geominimal surface areas in the Brunn-Minkowski-Firey theory. [D] . Weinless, Martin A. 2000

机译：Brunn-Minkowski-Firey理论中的最小地表表面积。
6. Gauge Theory on Projective Surfaces and Anti-self-dual Einstein Metrics in Dimension Four [O] . Maciej Dunajski, Thomas Mettler -1

机译：四维投影表面和反自对偶爱因斯坦度量的量规理论
7. Dual Orlicz-Brunn-Minkowski theory: dual Orlicz $L_{\phi}$ affine and geominimal surface areas [O] . Ye, Deping 2014

机译：双Orlicz-Brunn-minkowski理论：双Orlicz $ L _ {\ phi} $仿射和地理表面积

Dual Orlicz-Brunn-Minkowski theory: Dual Orlicz L-phi affine and geominimal surface areas

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