TY - JOUR AU - Ji, Lewen AU - Zeng, Zhenbing AU - Zhong, Jingjing PY - 2018 TI - On Brunn-Minkowski type inequality JO - Journal of Nonlinear Sciences and Applications SP - 762--769 VL - 11 IS - 6 AB - The notion of Aleksandrov body in the classical Brunn-Minkowski theory is extended to that of Orlicz-Aleksandrov body in the Orlicz Brunn-Minkowski theory. The analogs of the Brunn-Minkowski type inequality and the first variations of volume are established via Orlicz-Aleksandrov body. We also make some considerations for the polar of Orlicz combination. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.011.06.03 DO - 10.22436/jnsa.011.06.03 ID - Ji2018 ER -