On sums of volume quotient functions:

Chang-Jian Zhao, 225-234

Abstract:

In this paper, we establish Brunn-Minkowski-type inequalities for the sums of volume quotient functions of star bodies, which in special case yield some of the recent results.

Key Words volume quotient function, volume sum function, radial Minkowski sum, radial Blaschke sum, harmonic Blaschke sum.

2010 Mathematics Subject Classification: Primary 52A30, Secondary 26D15