\(L_p\)-dual geominimal surface areas for the general \(L_p\)-intersection bodies
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Authors
Zhonghuan Shen
- Department of Mathematics, China Three Gorges University, Yichang, 443002, China.
Yanan Li
- Department of Mathematics, China Three Gorges University, Yichang, 443002, China.
Weidong Wang
- Department of Mathematics, China Three Gorges University, Yichang, 443002, China.
Abstract
For \(0 < p < 1\), Haberl and Ludwig defined the notions of symmetric and asymmetric \(L_p\)-intersection bodies. Recently,
Wang and Li introduced the general \(L_p\)-intersection bodies. In this paper, we give the \(L_p\)-dual geominimal surface area forms
for the extremum values and Brunn-Minkowski type inequality of general \(L_p\)-intersection bodies. Further, combining with the
\(L_p\)-dual geominimal surface areas, we consider Busemann-Petty type problem for general \(L_p\)-intersection bodies.
Share and Cite
ISRP Style
Zhonghuan Shen, Yanan Li, Weidong Wang, \(L_p\)-dual geominimal surface areas for the general \(L_p\)-intersection bodies, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 7, 3519--3529
AMA Style
Shen Zhonghuan, Li Yanan, Wang Weidong, \(L_p\)-dual geominimal surface areas for the general \(L_p\)-intersection bodies. J. Nonlinear Sci. Appl. (2017); 10(7):3519--3529
Chicago/Turabian Style
Shen, Zhonghuan, Li, Yanan, Wang, Weidong. "\(L_p\)-dual geominimal surface areas for the general \(L_p\)-intersection bodies." Journal of Nonlinear Sciences and Applications, 10, no. 7 (2017): 3519--3529
Keywords
- General \(L_p\)-intersection body
- \(L_p\)-dual geominimal surface area
- extremum value
- Brunn-Minkowski inequality
- Busemann-Petty problem.
MSC
References
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