%0 Journal Article
%T 几个关于极坐标的Bonnesen型不等式<br>SEVERAL BONNESEN-STYLE INEQUALITIES ABOUT POLAR COORDINATES
%A 作者
%A 郑高峰
%A 周阳
%J 数学杂志
%D 2018
%X 本文研究了平面上C2闭凸曲线的极坐标形式{O；ρ（θ）}.运用Bonnesen不等式的推广形式[1，2]，得到关于ρ及ρθ的一些积分形式的Bonnesen型不等式，使得我们很容易得到等周不等式取等时的条件.<br>In this paper, we study C2 convex closed plane curve inpolar coordinates {O; ρ(θ)}. By using the extended Bonnesen inequalities [1, 2], we obtain some new Bonnesen-type inequalities about integration of ρ and ρθ, so that we can easily get the conditions under which equality in the isoperimetric inequality holds
%K 等周不等式 闭凸曲线 极坐标 Bonnesen不等式&lt
%K br&gt
%K isoperimetric inequality convex closed curve polar coordinates Bonnesen inequality
%U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20180618&flag=1