on some discrete Bonnesen-style isoperimetric inequalities
Differential Geometry
2023-06-28 v1
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.
Keywords
Cite
@article{arxiv.2306.15208,
title = {on some discrete Bonnesen-style isoperimetric inequalities},
author = {Chunna Zeng and Xu Dong},
journal= {arXiv preprint arXiv:2306.15208},
year = {2023}
}
Comments
17 pages, 2 figures