Dual Lp-Mixed Geominimal Surface Area and Related Inequalities
The integral formula of dual Lp-geominimal surface area is given and the concept of dual Lp-geominimal surface area is extended to dual Lp-mixed geominimal surface area. Properties for the dual Lp-mixed geominimal surface areas are established. Some inequalities, such as analogues of Alexandrov-Fenc...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/1481793 |
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| _version_ | 1832560736368328704 |
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| author | Tongyi Ma Yibin Feng |
| author_facet | Tongyi Ma Yibin Feng |
| author_sort | Tongyi Ma |
| collection | DOAJ |
| description | The integral formula of dual Lp-geominimal surface area is given and the concept of dual Lp-geominimal surface area is extended to dual Lp-mixed geominimal surface area. Properties for the dual Lp-mixed geominimal surface areas are established. Some inequalities, such as analogues of Alexandrov-Fenchel inequalities, Blaschke-Santaló inequalities, and affine isoperimetric inequalities for dual Lp-mixed geominimal surface areas, are also obtained. |
| format | Article |
| id | doaj-art-6b30363951dd4b8ea424329643f7d626 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-6b30363951dd4b8ea424329643f7d6262025-02-03T01:26:53ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/14817931481793Dual Lp-Mixed Geominimal Surface Area and Related InequalitiesTongyi Ma0Yibin Feng1College of Mathematics and Statistics, Hexi University, Zhangye, Gansu 734000, ChinaCollege of Mathematics and Statistics, Hexi University, Zhangye, Gansu 734000, ChinaThe integral formula of dual Lp-geominimal surface area is given and the concept of dual Lp-geominimal surface area is extended to dual Lp-mixed geominimal surface area. Properties for the dual Lp-mixed geominimal surface areas are established. Some inequalities, such as analogues of Alexandrov-Fenchel inequalities, Blaschke-Santaló inequalities, and affine isoperimetric inequalities for dual Lp-mixed geominimal surface areas, are also obtained.http://dx.doi.org/10.1155/2016/1481793 |
| spellingShingle | Tongyi Ma Yibin Feng Dual Lp-Mixed Geominimal Surface Area and Related Inequalities Journal of Function Spaces |
| title | Dual Lp-Mixed Geominimal Surface Area and Related Inequalities |
| title_full | Dual Lp-Mixed Geominimal Surface Area and Related Inequalities |
| title_fullStr | Dual Lp-Mixed Geominimal Surface Area and Related Inequalities |
| title_full_unstemmed | Dual Lp-Mixed Geominimal Surface Area and Related Inequalities |
| title_short | Dual Lp-Mixed Geominimal Surface Area and Related Inequalities |
| title_sort | dual lp mixed geominimal surface area and related inequalities |
| url | http://dx.doi.org/10.1155/2016/1481793 |
| work_keys_str_mv | AT tongyima duallpmixedgeominimalsurfaceareaandrelatedinequalities AT yibinfeng duallpmixedgeominimalsurfaceareaandrelatedinequalities |