Some inequalities for planar convex sets containing one lattice point

DOI10.1017/S0004972700032093zbMath0919.52007OpenAlexW2132106154MaRDI QIDQ4216668

Salvador Segura Gomis, María A. Hernández Cifre

Publication date: 3 November 1998

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700032093

zbMATH Keywords

arealattice pointsdiameterminimal widthcompact convex subsets of \(E^2\)

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (2) dimensions (including convex curves) (52A10) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05)

Related Items (1)

A remark on perimeter-diameter and perimeter-circumradius inequalities under lattice constraints

Cites Work

• ON PLANAR CONVEX SETS CONTAINING ONE LATTICE POINT

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