Inequalities for general mixed affine surface areas

Abstract

Several general mixed affine surface areas are introduced. We prove some important properties, such as, affine invariance, for these general mixed affine surface areas. We also establish new Alexandrov-Fenchel type inequalities, Santaló-type inequalities, and affine isoperimetric inequalities for these general mixed affine surface areas.

Cited by in corpus (4)

• The Dual Orlicz-Brunn-Minkowski Theory
• Dual Orlicz-Brunn-Minkowski theory: dual Orlicz $L_{\varphi }$ affine and geominimal surface areas
• New Orlicz Affine Isoperimetric Inequalities
• Extremal general affine surface areas