Dual L p -Mixed Geominimal Surface Area and Related Inequalities

Dual L p -Mixed Geominimal Surface Area and Related Inequalities

The integral formula of dual L p -geominimal surface area is given and the concept of dual L p -geominimal surface area is extended to dual L p -mixed geominimal surface area. Properties for the dual L p -mixed geominimal surface areas are established. Some inequalities, such as analogues of Alexand...

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Veröffentlicht in:Journal of function spaces 2016-01, Vol.2016 (2016), p.1-10
Hauptverfasser: Ma, Tongyi, Feng, Yibin
Format: Artikel
Sprache:eng
Schlagworte:
Equality
Euclidean space
Geometry
Inequality
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Zusammenfassung:The integral formula of dual L p -geominimal surface area is given and the concept of dual L p -geominimal surface area is extended to dual L p -mixed geominimal surface area. Properties for the dual L p -mixed geominimal surface areas are established. Some inequalities, such as analogues of Alexandrov-Fenchel inequalities, Blaschke-Santaló inequalities, and affine isoperimetric inequalities for dual L p -mixed geominimal surface areas, are also obtained.
ISSN:2314-8896
2314-8888
DOI:10.1155/2016/1481793