A survey of the Hornich-Hlawka inequality

2024/07/03 by Dan-Ştefan Marinescu, Marinescu, Dan-Ştefan, Constantin P. Niculescu +1
Mathematics · #26D15 #46B04 #46B20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Inequalities and Applications #Mathematics and Applications #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2407.03278

openalex publication_date 2024/07/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this survey, we review the many faces of the Hornich-Hlawka inequality. Several open problems that seem of utmost interest are mentioned.

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