Title of article
Lp-dual geominimal surface areas for the general Lp- intersection bodies
Author/Authors
Shen ، Zhonghuan - China Three Gorges University , Li ، Yanan - China Three Gorges University , Wang ، Weidong - China Three Gorges University
Pages
11
From page
3519
To page
3529
Abstract
For 0 p 1, Haberl and Ludwig defined the notions of symmetric and asymmetric Lp-intersection bodies. Recently, Wang and Li introduced the general Lp-intersection bodies. In this paper, we give the Lp-dual geominimal surface area forms for the extremum values and Brunn-Minkowski type inequality of general Lp-intersection bodies. Further, combining with the Lp-dual geominimal surface areas, we consider Busemann-Petty type problem for general Lp-intersection bodies.
Keywords
General Lp , intersection body , Lp , dual geominimal surface area , extremum value , Brunn , Minkowski inequality , Busemann , Petty problem
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2017
Journal title
Journal of Nonlinear Science and Applications
Record number
2476669
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