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

摘要

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.

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