Dual Orlicz mixed geominimal surface areas

Abstract

The notion of L p-geominimal surface area was originally introduced by Lutwak in 1996. Recently, Feng and Wang introduced the concept of L p-dual mixed geominimal surface area based on L p-dual mixed quermassintegrals. In this paper, based on dual Orlicz mixed quermassintegrals, we define the concept of dual Orlicz mixed geominimal surface area and establish some related inequalities for this new notion.