On the Dual Wills Functional

In this paper, we explore some properties of the dual Wills functional, which are part of the dual Brunn–Minkowski theory. We give the upper and lower bounds for the dual Wills functional in terms of the 1-th dual volume of star bodies. Moreover, an inequality that is associated with the section of...

Full description

Saved in:
Bibliographic Details
Published in:Bulletin of the Malaysian Mathematical Sciences Society 2024-05, Vol.47 (3), Article 89
Main Authors: Zhou, Yushi, Li, Ai-Jun
Format: Article
Language:English
Subjects:
Applications of Mathematics
Lower bounds
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we explore some properties of the dual Wills functional, which are part of the dual Brunn–Minkowski theory. We give the upper and lower bounds for the dual Wills functional in terms of the 1-th dual volume of star bodies. Moreover, an inequality that is associated with the section of convex bodies for isotropic measures is presented.
ISSN:0126-6705
2180-4206
DOI:10.1007/s40840-024-01689-1