affine isoperimetric inequality
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scholarly journals Functional Geominimal Surface Area and Its Related Affine Isoperimetric Inequality

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Niufa Fang ◽  
Jin Yang
Keyword(s):  
Surface Area ◽  
Isoperimetric Inequality ◽  
Convex Bodies ◽  
Mixed Volume ◽  
Concave Functions ◽  
Variation Formula ◽  
First Variation ◽  
The First Variation ◽  
Geominimal Surface Area ◽  
Affine Isoperimetric Inequality

The first variation of the total mass of log-concave functions was studied by Colesanti and Fragalà, which includes the Lp mixed volume of convex bodies. Using Colesanti and Fragalà’s first variation formula, we define the geominimal surface area for log-concave functions, and its related affine isoperimetric inequality is also established.

scholarly journals The Orlicz affine isoperimetric inequality

2014 ◽  
pp. 1079-1089
Author(s):  
Fangwei Chen ◽  
Congli Yang ◽  
Jiazu Zhou
Keyword(s):  
Isoperimetric Inequality ◽  
Affine Isoperimetric Inequality

scholarly journals A generalized affine isoperimetric inequality

2004 ◽  
Vol 14 (4) ◽  
pp. 597-612 ◽  
Author(s):  
W. Chen ◽  
R. Howard ◽  
E. Lutwak ◽  
D. Yang ◽  
G. Zhang
Keyword(s):  
Isoperimetric Inequality ◽  
Affine Isoperimetric Inequality
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