Isoperimetric and Brunn-Minkowski inequalities for the (p, q)-mixed geominimal surface areas

作者：Zhang, Juan; Wang, Weidong; Zhao, Peibiao^*

来源：Open Mathematics, 2022, 20(1): 117-124.

DOI：10.1515/math-2022-0024

• (p, q)-mixed volume
• (p, q)-mixed geominimal surface area
• monotonic inequality
• isoperimetric inequality
• Brunn-Minkowski-type inequality

Motivated by the celebrated work of Lutwak, Yang and Zhang [1] on (p, q)-mixed volumes and that of Feng and He [2] on (p, q)-mixed geominimal surface areas, we in the present paper establish and confirm the affine isoperimetric and Brunn-Minkowski-type inequalities with respect to (p, q)-mixed geominimal surface areas.

• 单位
  南京理工大学