Curvature for polygons

Julia Cufi; Agusti Reventos; Carlos J. Rodriguez

doi:10.4169/amer.math.monthly.122.04.332

Curvature for polygons

Julia Cufi, Agusti Reventos, Carlos J. Rodriguez

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

Abstract

Using a notion of curvature at the vertices of a polygon, we prove an inequality involving the length of the sides of the polygon and the radii of curvature at the vertices. As a consequence, we obtain a discrete version of Ros' inequality.

Original language	English
Pages (from-to)	332-337
Journal	American Mathematical Monthly
Volume	122
Issue number	4
DOIs	https://doi.org/10.4169/amer.math.monthly.122.04.332
Publication status	Published - 1 Jan 2015

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title = "Curvature for polygons",

abstract = "Using a notion of curvature at the vertices of a polygon, we prove an inequality involving the length of the sides of the polygon and the radii of curvature at the vertices. As a consequence, we obtain a discrete version of Ros' inequality.",

author = "Julia Cufi and Agusti Reventos and Rodriguez, {Carlos J.}",

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DO - 10.4169/amer.math.monthly.122.04.332

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JO - American Mathematical Monthly

JF - American Mathematical Monthly

SN - 0002-9890

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