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arXiv · 2306.15208

on some discrete Bonnesen-style isoperimetric inequalities

Chunna Zeng·Xu Dong
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Abstract

This article deals with the sharp discrete isoperimetric inequalities in analysis and geometry for planar convex polygons. First, the analytic isoperimetric inequalities based on Schur convex function are established. In the wake of the analytic isoperimetric inequalities, Bonnesen-style isoperimetric inequalities and inverse Bonnesen-style inequalities for the planar convex polygons are obtained.

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Chunna Zeng, Xu Dong. 2023-06-27. on some discrete Bonnesen-style isoperimetric inequalities. https://arxiv.org/abs/2306.15208

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