Eine Ungleichung zwischen Volumen, Oberfläche und Gitterpunktanzahl konvexer Mengen imR 3

DOI10.1007/BF01901740zbMath0309.52001OpenAlexW2065792367MaRDI QIDQ4067660

Jürgen Bokowski, Jörg M. Wills

Publication date: 1974

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01901740

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Lattices and convex bodies (number-theoretic aspects) (11H06) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Lattice packing and covering (number-theoretic aspects) (11H31) Convex sets in (3) dimensions (including convex surfaces) (52A15) Mean value and transfer theorems (11H60)

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An inequality relating volume, area and number of lattice points of convex sets in \(n\)-dimensional Euclidean space ⋮ Stationary partitioning of convex bodies

Cites Work

• Volumen und Oberfläche eines Eikörpers, der keine Gitterpunkte überdeckt
• On the Volume of Lattice Polyhedra
• A Further Note on the Volume of Lattice Polyhedra
• Évaluation de la différence entre l'aire d'une région plane convexe et le nombre des points aux coordonnées entières couverts par elle