On a generalised Blaschke-Santalò inequality

2018/08/07 by Haodi Chen, Chen, Haodi · 2 citations
Mathematics · #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #Economics #FOS: Mathematics #Inequality #Mathematical Inequalities and Applications #Mathematical analysis #Mathematical economics #Mathematics #Mathematics and Applications #Point processes and geometric inequalities #Pure mathematics #math.AP #math.DG

paper · pdf · doi:10.48550/arxiv.1808.02218

published in arXiv (Cornell University) (Cornell University)

arxiv created 2018/08/07 · openalex publication_date 2018/08/07 · arxiv updated 2018/08/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we establish a generalised Blaschke-Santalò inequality for convex bodies in \mathbb Rⁿ⁺¹. This inequality gives an upper bound estimate for the product of dual quermassintegrals of convex body and its polar set. Our argument is based on induction on dimensions.

Citations

• Geometric measures in the dual Brunn–Minkowski theory and their associated Minkowski problems

Cited by

• Compactness of the L_p dual Minkowski problem in ℝ³
• Uniqueness in the near isotropic Lp dual Minkowski problem

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