Cyclic Brunn–Minkowski inequalities for general width and chord-integrals

Abstract

Abstract In this paper, we establish two cyclic Brunn–Minkowski inequalities for the general ith width-integrals and general ith chord-integrals, respectively. Our works bring the cyclic inequality and Brunn–Minkowski inequality together.

Keywords

• General ith width-integral
• General ith chord-integral
• Cyclic Brunn–Minkowski inequality