Widths Of Convex Bodies In Euclidean Space

In Euclidean space,the geometric width and lattice width of a convex body are important geometric invariants measuring the geometric characteristics of the convex body.In this paper,we generalize an inequality relation between the geometric width and lattice width;clarify and prove some intuitive conclusions about width function,geometric width and lattice width;in the 2-dimensional case,obtain an inequality relation between the geometric width and the length of the boundary for some “good” convex regions.