Journals / Turkish Journal of Mathematics / 2013 / Cilt: 37 - Sayı: 6

On quotients of ith affine surface areas

Pages
1022–1029
DOI
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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.

Özet

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