On quotients of ith affine surface areas

Authors : Chang-jian Zhao

Pages : 1022-1029

Doi:10.3906/mat-1206-39

View : 15 | Download : 9

Publication Date : 9999-12-31

Article Type : Makaleler

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