A survey of the Hornich-Hlawka inequality
Dan-\c{S}tefan Marinescu, Constantin P. Niculescu
TL;DR
This survey reviews the various aspects of the Hornich-Hlawka inequality, discussing its significance, different formulations, and open problems in the field.
Contribution
It provides a comprehensive overview of the Hornich-Hlawka inequality, highlighting open problems and future research directions.
Findings
Multiple formulations of the Hornich-Hlawka inequality
Identification of key open problems in the field
Summary of recent developments and applications
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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Taxonomy
TopicsMathematical Inequalities and Applications · Point processes and geometric inequalities · Mathematics and Applications