Inequalities on General <i>L</i>_p-Mixed Chord Integral Difference

Abstract

In this article, we introduce the concept of general Lp-mixed chord integral difference of star bodies. Further, we establish the Brunn–Minkowski type, Aleksandrov–Fenchel type and cyclic inequalities for the Lp-mixed chord integral difference.

Keywords

• general <i>L_p</i>-mixed chord integral difference
• volume difference
• <i>L_p</i>-radial Minkowski combination
• <i>L_p</i>-radial Blaschke Minkowski homomorphism