The Functional Orlicz Brunn-Minkowski Inequality for q-Capacity
In this paper, we establish functional forms of the Orlicz Brunn-Minkowski inequality and the Orlicz-Minkowski inequality for the electrostatic q-capacity, which generalize previous results by Zou and Xiong. We also show that these two inequalities are equivalent.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/1670617 |
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| _version_ | 1832561153293680640 |
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| author | Wei Wang Juan Li Rigao He Lijuan Liu |
| author_facet | Wei Wang Juan Li Rigao He Lijuan Liu |
| author_sort | Wei Wang |
| collection | DOAJ |
| description | In this paper, we establish functional forms of the Orlicz Brunn-Minkowski inequality and the Orlicz-Minkowski inequality for the electrostatic q-capacity, which generalize previous results by Zou and Xiong. We also show that these two inequalities are equivalent. |
| format | Article |
| id | doaj-art-7994f842ea864defbbefaa51e5aec937 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-7994f842ea864defbbefaa51e5aec9372025-02-03T01:25:47ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/16706171670617The Functional Orlicz Brunn-Minkowski Inequality for q-CapacityWei Wang0Juan Li1Rigao He2Lijuan Liu3School of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan, Hunan 411201, ChinaSchool of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan, Hunan 411201, ChinaDepartment of Mathematics, Jiangxi University of Science and Technology, Jiangxi 341000, ChinaSchool of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan, Hunan 411201, ChinaIn this paper, we establish functional forms of the Orlicz Brunn-Minkowski inequality and the Orlicz-Minkowski inequality for the electrostatic q-capacity, which generalize previous results by Zou and Xiong. We also show that these two inequalities are equivalent.http://dx.doi.org/10.1155/2020/1670617 |
| spellingShingle | Wei Wang Juan Li Rigao He Lijuan Liu The Functional Orlicz Brunn-Minkowski Inequality for q-Capacity Journal of Function Spaces |
| title | The Functional Orlicz Brunn-Minkowski Inequality for q-Capacity |
| title_full | The Functional Orlicz Brunn-Minkowski Inequality for q-Capacity |
| title_fullStr | The Functional Orlicz Brunn-Minkowski Inequality for q-Capacity |
| title_full_unstemmed | The Functional Orlicz Brunn-Minkowski Inequality for q-Capacity |
| title_short | The Functional Orlicz Brunn-Minkowski Inequality for q-Capacity |
| title_sort | functional orlicz brunn minkowski inequality for q capacity |
| url | http://dx.doi.org/10.1155/2020/1670617 |
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