The mixed Lp-dual affine surface area for multiple star bodies | Zendy

Ting Zhang | Zendy; Weidong Wang | Zendy; Lin Si | Zendy

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The mixed Lp-dual affine surface area for multiple star bodies

Author(s) -

Ting Zhang,

Weidong Wang,

Lin Si

Publication year - 2016

Publication title -

the journal of nonlinear sciences and applications

Language(s) - English

Resource type - Journals

eISSN - 2008-1901

pISSN - 2008-1898

DOI - 10.22436/jnsa.009.05.76

Subject(s) - mathematics , star (game theory) , affine transformation , dual (grammatical number) , surface (topology) , geometry , mathematical analysis , art , literature

Associated with the notion of the mixed Lp-affine surface area for multiple convex bodies for all real p (p 6= −n) which was introduced by Ye, et al. [D. Ye, B. Zhu, J. Zhou, arXiv, 2013 (2013), 38 pages], we define the concept of the mixed Lp-dual affine surface area for multiple star bodies for all real p (p 6= −n) and establish its monotonicity inequalities and cyclic inequalities. Besides, the Brunn-Minkowski type inequalities of the mixed Lp-dual affine surface area for multiple star bodies with two addition are also presented. c ©2016 All rights reserved.

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