Dual Lp-Mixed Geominimal Surface Area and Related Inequalities. (10th July 2016)

• Record Type: Journal Article
• Authors: Ma, Tongyi; Feng, Yibin
• Other Names: Bardaro Carlo Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2016(2016)
• Publication Date: 2016-07-10
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2016/1481793
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : 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.