Open AccessThe General Dual Orlicz Geominimal Surface Area
Author(s) -
Ni Li,
Shuang Mou
Publication year - 2020
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.579
H-Index - 28
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2020/1387269
Subject(s) - dual (grammatical number) , mathematics , mathematics subject classification , surface (topology) , pure mathematics , geometry , philosophy , linguistics
In this paper, we study the general dual Orlicz geominimal surface area by the general dual Orlicz mixed volume which was introduced by Gardner et al. (2019). We find the conditions to the existence of the general dual Orlicz-Petty body and hence prove the continuity of the general geominimal surface area in the Orlicz setting (2010 Mathematics Subject Classification: 52A20, 53A15).