Article

The (p, q)-mixed geominimal surface areas

Published in: Quaestiones Mathematicae
Volume 42 , issue 8 , 2019 , pages: 1031–1043

DOI: 10.2989/16073606.2018.1504137

Author(s): Yibin Feng Department of Mathematics, China , Binwu He Department of Mathematics, China

Keywords: 52A20 , 52A40 , 52A20 , 52A40

Abstract

The (p, q)-mixed geominimal surface areas are introduced. A special case of the new concept is the L_p 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 L_p geominimal surface area.

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