关键词: Kinematic formula, dual quermassintegrals, chord power integral, dual mixed volume, star body, convex body

Abstract:

In this article, some kinematic formulas for dual quermassintegral of star bodies and for chord power integrals of convex bodies are established by using dual mixed volumes. These formulas are the extensions of the fundamental kinematic formula involving quermassintegral to the case of dual quermassintegral and chord power integrals.

Key words: Kinematic formula, dual quermassintegrals, chord power integral, dual mixed volume, star body, convex body