Uniform cover inequalities for the volume of coordinate sections and projections of convex bodies
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Publication:1653983
DOI10.1515/advgeom-2017-0063zbMath1395.52011arXiv1606.03779OpenAlexW2963676492MaRDI QIDQ1653983
Silouanos Brazitikos, Apostolos Giannopoulos, Dimitris-Marios Liakopoulos
Publication date: 7 August 2018
Published in: Advances in Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.03779
Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Asymptotic theory of convex bodies (52A23) Asymptotic theory of Banach spaces (46B06)
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Cites Work
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- Reverse inequalities for zonoids and their application
- Concentration of mass on convex bodies
- On a reverse form of the Brascamp-Lieb inequality
- Isoperimetric inequalities for the mixed area of plane convex sets
- Some inequalities about mixed volumes
- Verallgemeinerung eines Mittelwertsatzes von J. Favard für positive konkave Funktionen
- Characterization of simplices via the Bezout inequality for mixed volumes
- The dual Loomis–Whitney inequality
- A Volume Inequality Concerning Sections of Convex Sets
- Shadows of Convex Bodies
- Information theoretic inequalities
- On a local version of the Aleksandrov-Fenchel inequality for the quermassintegrals of a convex body
- Bezout Inequality for Mixed Volumes
- Projections of Bodies and Hereditary Properties of Hypergraphs
- Asymptotic Geometric Analysis, Part I
- Small ball probability estimates for log-concave measures
- Convex Bodies The Brunn-MinkowskiTheory
- REMARKS ABOUT MIXED DISCRIMINANTS AND VOLUMES
- An inequality related to the isoperimetric inequality
