Bonnesen-style symmetric mixed inequality in the Euclidean plane

LI Xiao1，ZHOU Jiazu2*

doi:10.15983/j.cnki.jsnu.2023108

Journal of Shaanxi Normal University(Natural Science Edition) >

2023 , Vol. 51 >Issue 1: 50 - 55

DOI: https://doi.org/10.15983/j.cnki.jsnu.2023108

Bonnesen-style symmetric mixed inequality in the Euclidean plane

LI Xiao1，ZHOU Jiazu2*

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(1 School of Mathematical and Sciences, Chongqing Normal University, Chongqing 401331, China;2 School of Mathematics and Statistics, Southwest University, Chongqing 400715, China)

Online published: 2023-05-06

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Abstract

The symmetric mixed isoperimetric inequality and the Bonnesen-style symmetric mixed inequalities are obtained by the method of integral geometry. The special cases of these Bonnesen inequalities are the classical isoperimetric inequalities and Bonnesen inequalities.

Key words： integral geometry; symmetric mixed isoperimetric deficit; symmetric mixed isoperimetric inequality; Bonnesen-style inequality

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LI Xiao1，ZHOU Jiazu2* . Bonnesen-style symmetric mixed inequality in the Euclidean plane[J]. Journal of Shaanxi Normal University(Natural Science Edition), 2023 , 51(1) : 50 -55 . DOI: 10.15983/j.cnki.jsnu.2023108

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