Abstract
The (p, q)-mixed geominimal surface areas are introduced. A special case of the new concept is the Lp geominimal surface area introduced by Lutwak. Related inequalities, such as affine isoperimetric inequality, monotonous inequality, cyclic inequality, and Brunn-Minkowski inequality, are established. These new inequalities strengthen some well-known inequalities related to the Lp geominimal surface area.
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