Stability Properties of the Generalized Chernoff Inequality
نویسندگان
چکیده
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.
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تاریخ انتشار 2012