欧氏平面R^2中几个加强的Minkowski不等式（英文）

Some strengthened Minkowski inequalities in the Euclidean plane R^2

运用积分几何中的平移包含测度,估计对称混合等似亏格Δ_2(K_0,K_1)=A_(01)~2-A_0A_1,其中A_(01)是凸域K_0与K_1的混合面积。获得了欧氏平面R^2中一些加强的Minkowski不等式。

Via the the translative containment measure in integral geometry, we estimate the symmetric mixed isohomo- thetic deficit A2 （Ko,Kt ） = A21^2 -AoA1 , where A0j is the mixed area of two convex domains Ko,K1 in the Euclidean plane R2 . We obtain some some strengthened Minkowski inequalities in R2 .