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New inequalities for planar convex sets with lattice point constraints
Published online by Cambridge University Press: 17 April 2009
Abstract
We obtain new inequalities relating the inradius of a planar convex set with interior containing no point of the integral lattice, with the area, perimeter and diameter of the set. By considering a special sublattice of the integral lattice, we also obtain an inequality concerning the inradius and area of a planar convex set with interior containing exactly one point of the integral lattice.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 54 , Issue 3 , December 1996 , pp. 391 - 396
- Copyright
- Copyright © Australian Mathematical Society 1996
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