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POSITIVE CENTRE SETS OF CONVEX CURVES AND A BONNESEN TYPE INEQUALITY

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We consider the positive centre sets of regular $n$ -gons, rectangles and half discs, and conjecture a Bonnesen type inequality concerning positive centre sets which is stronger than the classical… Click to show full abstract

We consider the positive centre sets of regular $n$ -gons, rectangles and half discs, and conjecture a Bonnesen type inequality concerning positive centre sets which is stronger than the classical isoperimetric inequality.

Keywords: positive centre; type inequality; bonnesen type; centre sets

Journal Title: Bulletin of the Australian Mathematical Society
Year Published: 2018

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