scholarly journals Inequalities for general mixed affine surface areas

2011 ◽  
Vol 85 (1) ◽  
pp. 101-120 ◽  
Author(s):  
Deping Ye
Keyword(s):  
Affine Surface ◽  
Surface Areas

scholarly journals Constrained convex bodies with extremal affine surface areas

2020 ◽  
Vol 279 (3) ◽  
pp. 108531
Author(s):  
O. Giladi ◽  
H. Huang ◽  
C. Schütt ◽  
E.M. Werner
Keyword(s):  
Convex Bodies ◽  
Affine Surface ◽  
Surface Areas

The mixed Lp affine surface areas for functions

2018 ◽  
Vol 42 (2) ◽  
pp. 257-276 ◽  
Author(s):  
Baocheng Zhu ◽  
Sudan Xing
Keyword(s):  
Affine Surface ◽  
Surface Areas

L p -Dual Mixed Affine Surface Areas

2016 ◽  
Vol 68 (5) ◽  
pp. 679-688 ◽  
Author(s):  
X. Wan ◽  
W. Wang
Keyword(s):  
Affine Surface ◽  
Surface Areas

On $L_p$-affine surface areas

2007 ◽  
Vol 56 (5) ◽  
pp. 2305-2324 ◽  
Author(s):  
Elisabeth Werner
Keyword(s):  
Affine Surface ◽  
Surface Areas

scholarly journals Lp Radial Blaschke-Minkowski Homomorphisms and Lp Dual Affine Surface Areas

Mathematics ◽  
2019 ◽  
Vol 7 (4) ◽  
pp. 343
Author(s):  
Zhonghuan Shen ◽  
Weidong Wang
Keyword(s):  
Affine Surface ◽  
Surface Areas ◽  
Dual Affine ◽  
Volume Forms ◽  
Negative Form

Schuster introduced the notion of radial Blaschke-Minkowski homomorphism and considered the Busemann-Petty problem for volume forms. Whereafter, Wang, Liu and He presented the L p radial Blaschke-Minkowski homomorphisms and extended Schuster’s results. In this paper, associated with L p dual affine surface areas, we give an affirmative and a negative form of the Busemann-Petty problem and establish two Brunn-Minkowski inequalities for the L p radial Blaschke-Minkowski homomorphisms.

scholarly journals Lp-dual affine surface areas for the general Lp-intersection bodies

Filomat ◽  
2019 ◽  
Vol 33 (14) ◽  
pp. 4421-4428
Author(s):  
Juan Zhang ◽  
Weidong Wang
Keyword(s):  
Surface Area ◽  
Type Inequality ◽  
Affine Surface ◽  
Affine Surface Area ◽  
Surface Areas ◽  
Intersection Bodies ◽  
Dual Affine

For 0 < p < 1, the notions of symmetric and asymmetric Lp-intersection bodies were introduced by Haberl and Ludwig. Recently, Wang and Li defined the general Lp-intersection bodies. In this paper, associated with the Lp-dual affine surface areas, we give the extremum values of the general Lp-intersection bodies. Moreover, a Brunn-Minkowski type inequality and a monotone inequality for the Lp-dual affine surface area version of general Lp-intersection bodies are established, respectively.

scholarly journals On quotients of $i$th affine surface areas

2013 ◽  
Vol 37 ◽  
pp. 1022-1029 ◽  
Author(s):  
Chang-Jian ZHAO
Keyword(s):  
Affine Surface ◽  
Surface Areas
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