TY - JOUR AU - Gao, Li AU - Ma, Tongyi AU - Guo, Yuanyuan PY - 2018 TI - Dual Orlicz mixed geominimal surface area JO - Journal of Nonlinear Sciences and Applications SP - 1113--1123 VL - 11 IS - 10 AB - 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. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.011.10.01 DO - 10.22436/jnsa.011.10.01 ID - Gao2018 ER -