On the Dual Wills Functional

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...

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Veröffentlicht in:Bulletin of the Malaysian Mathematical Sciences Society 2024-05, Vol.47 (3), Article 89
Hauptverfasser: Zhou, Yushi, Li, Ai-Jun
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Lower bounds
Mathematics
Mathematics and Statistics
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Zusammenfassung: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