Stability properties Of the generalized Chernoff inequality
Stability properties Of the generalized Chernoff inequality
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DOI：
10.7153/mia-15-23
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发表时间：
2012
影响因子：
1
通讯作者：
Li Gao;Yilin Wang
中科院分区：
文献类型：
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作者：
Li Gao;Yilin Wang
在这个简短的报告我们将两个稳定Chernoff-Ou-Pan不等式的性质,新获得的[6],即如果K是一个凸域平面上R2区域(K),然后一个人(K) 1 K∫πKω0 K(θ)周(θ+πK) dθ,哪里工作(θ)是定义在[6](参见下面的§3),和,等号成立当且仅当K是一个圆盘。数学学科分类（2010）：52A38,52A40。
In this short note we will present two stability properties of the Chernoff-Ou-Pan inequality, newly obtained in [6], which states that if K is a convex domain in the plane R2 with area a(K) , then one gets a(K) 1 k ∫ π k 0 ωk(θ )wk ( θ + π k ) dθ , where wk(θ ) is defined in [6] (see also §3 below), and the equality holds if and only if K is a circular disc. Mathematics subject classification (2010): 52A38,52A40.