%0 Journal Article %T Dual Orlicz mixed geominimal surface area %A Gao, Li %A Ma, Tongyi %A Guo, Yuanyuan %J Journal of Nonlinear Sciences and Applications %D 2018 %V 11 %N 10 %@ ISSN 2008-1901 %F Gao2018 %X Based on the classical ideas, Zhu discussed the properties and useful theories for \(L_{p}\)-mixed geominimal surface area; meanwhile, Ma defined dual Orlicz geominimal surface area. The previous studies provide a thought to us for the study of the dual Orlicz mixed geominimal surface. In our paper, we have done the following work: attempting to use an integral form to define the dual Orlicz mixed geominimal surface area, further studyding its related properties, and listing some inequalities including Alexandrov-Fenchel type inequality, analogous cyclic inequality, Blaschke-Santaló type inequality, and affine isoperimetric inequality in Orlicz space. %9 journal article %R 10.22436/jnsa.011.10.01 %U http://dx.doi.org/10.22436/jnsa.011.10.01 %P 1113--1123