\(L_p\)-dual geominimal surface areas for the general \(L_p\)-intersection bodies


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.


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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


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