On 𝑝-Quermassintegral Differences Function

[摘要] In this paper we establish Minkowski inequality and Brunn–Minkowski inequality for 𝑝-quermassintegral differences of convex bodies. Further, we give Minkowski inequality and Brunn–Minkowski inequality for quermassintegral differences of mixed projection bodies.

[学科分类] 数学（综合）

[关键词] Quermassintegral difference function;convex body;projection body;the Brunn–Minkowski inequality.