On quotients of ith affine surface areas

Authors: Chang-Jian ZHAO

Abstract: Following the volume difference function, we first introduce the notion of the affine surface area quotient function. We establish Brunn--Minkowski type inequalities for the affine surface area quotient function, which in special cases yield some well-known results.

Keywords: Volume difference function, affine surface area quotient function, Blaschke sum, Brunn--Minkowski inequality

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