The General Dual Orlicz Geominimal Surface Area
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 surfac...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/1387269 |
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| _version_ | 1850161658166509568 |
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| author | Ni Li Shuang Mou |
| author_facet | Ni Li Shuang Mou |
| author_sort | Ni Li |
| collection | DOAJ |
| description | 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). |
| format | Article |
| id | doaj-art-ff002f0434024eb290422ad89fb8b4f6 |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-ff002f0434024eb290422ad89fb8b4f62025-08-20T02:22:45ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/13872691387269The General Dual Orlicz Geominimal Surface AreaNi Li0Shuang Mou1Department of Mathematics, Hubei Minzu University, Enshi, Hubei 445000, ChinaDepartment of Mathematics, Hubei Minzu University, Enshi, Hubei 445000, ChinaIn 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).http://dx.doi.org/10.1155/2020/1387269 |
| spellingShingle | Ni Li Shuang Mou The General Dual Orlicz Geominimal Surface Area Journal of Function Spaces |
| title | The General Dual Orlicz Geominimal Surface Area |
| title_full | The General Dual Orlicz Geominimal Surface Area |
| title_fullStr | The General Dual Orlicz Geominimal Surface Area |
| title_full_unstemmed | The General Dual Orlicz Geominimal Surface Area |
| title_short | The General Dual Orlicz Geominimal Surface Area |
| title_sort | general dual orlicz geominimal surface area |
| url | http://dx.doi.org/10.1155/2020/1387269 |
| work_keys_str_mv | AT nili thegeneraldualorliczgeominimalsurfacearea AT shuangmou thegeneraldualorliczgeominimalsurfacearea AT nili generaldualorliczgeominimalsurfacearea AT shuangmou generaldualorliczgeominimalsurfacearea |