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.

DOI

10.3906/mat-1206-39

Keywords

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

First Page

1022

Last Page

1029

Recommended Citation

ZHAO, Chang-Jian (2013) "On quotients of ith affine surface areas," Turkish Journal of Mathematics: Vol. 37: No. 6, Article 12. https://doi.org/10.3906/mat-1206-39
Available at: https://journals.tubitak.gov.tr/math/vol37/iss6/12