scholarly journals Dual Orlicz mixed geominimal surface area

2018 ◽  
Vol 11 (10) ◽  
pp. 1113-1123
Author(s):  
Li Gao ◽  
Tongyi Ma ◽  
Yuanyuan Guo
Keyword(s):  
Surface Area ◽  
Geominimal Surface Area

scholarly journals ISOPERIMETRIC INEQUALITIES FOR Lp GEOMINIMAL SURFACE AREA

2011 ◽  
Vol 53 (3) ◽  
pp. 717-726 ◽  
Author(s):  
BAOCHENG ZHU ◽  
NI LI ◽  
JIAZU ZHOU
Keyword(s):  
Convex Body ◽  
Surface Area ◽  
Type Inequality ◽  
Isoperimetric Inequalities ◽  
Surface Areas ◽  
Cyclic Inequality ◽  
Geominimal Surface Area

AbstractIn this paper, we establish a number of Lp-affine isoperimetric inequalities for Lp-geominimal surface area. In particular, we obtain a Blaschke–Santaló type inequality and a cyclic inequality between different Lp-geominimal surface areas of a convex body.

scholarly journals The General Dual Orlicz Geominimal Surface Area

2020 ◽  
Vol 2020 ◽  
pp. 1-6
Author(s):  
Ni Li ◽  
Shuang Mou
Keyword(s):  
Surface Area ◽  
Mixed Volume ◽  
Subject Classification ◽  
Dual Orlicz Mixed Volume ◽  
Geominimal Surface Area ◽  
Orlicz Mixed Volume

In this paper, we study the general dual Orlicz geominimal surface area by the general dual Orlicz mixed volume which was introduced by Gardner et al. (2019). We find the conditions to the existence of the general dual Orlicz-Petty body and hence prove the continuity of the general geominimal surface area in the Orlicz setting (2010 Mathematics Subject Classification: 52A20, 53A15).

scholarly journals Lp mixed geominimal surface area

2015 ◽  
Vol 422 (2) ◽  
pp. 1247-1263 ◽  
Author(s):  
Baocheng Zhu ◽  
Jiazu Zhou ◽  
Wenxue Xu
Keyword(s):  
Surface Area ◽  
Geominimal Surface Area

scholarly journals Dual Orlicz mixed geominimal surface areas

Filomat ◽  
2018 ◽  
Vol 32 (14) ◽  
pp. 5053-5061
Author(s):  
Wei Shi ◽  
Weidong Wang ◽  
Tongyi Ma
Keyword(s):  
Surface Area ◽  
Surface Areas ◽  
Geominimal Surface Area

The notion of Lp-geominimal surface area was originally introduced by Lutwak in 1996. Recently, Feng andWang introduced the concept of Lp-dual mixed geominimal surface area based on Lp-dual mixed quermassintegrals. In this paper, based on dual Orlicz mixed quermassintegrals, we define the concept of dual Orlicz mixed geominimal surface area and establish some related inequalities for this new notion.

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