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

详细信息    查看全文

• 作者：Deping Ye ^{deping.ye@mun.ca" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Affine surface area ; Geominimal surface area ; Orlicz&ndash ; Brunn&ndash ; Minkowski theory ; Affine isoperimetric inequalities ; Dual Orlicz&ndash ; Brunn&ndash ; Minkowski theory
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2016
• 出版时间：1 November 2016
• 年：2016
• 卷：443
• 期：1
• 页码：352-371
• 全文大小：480 K

文摘

This paper aims to develop the basic theory for the dual Orlicz L_ϕ$L_{\varphi }$ affine and geominimal surface areas of star bodies. Basic properties of these new affine invariants are established. Moreover, related Orlicz affine isoperimetric, cyclic, Santaló type and Alexandrov–Fenchel type inequalities are obtained.