Estimating from Above the Perimeter of an Asymmetric Unit Disk in the Minkowski Plane
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It is proved that each convex planar figure K ⊂ ℝ2 contains a point O such that the perimeter of K computed with respect to the Minkowski distance function of the pair (K, O) is at most 9. If K is a triangle, this estimate is sharp. Bibliography: 7 titles.
KeywordsDistance Function Unit Disk Asymmetric Unit Minkowski Plane Minkowski Distance
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