scholarly journals The i th Lp Dual Affine Surface Area

2018 ◽  
Vol 08 (01) ◽  
pp. 99-104
Author(s):  
蕊 张
Keyword(s):  
Surface Area ◽  
Affine Surface ◽  
Affine Surface Area ◽  
Dual Affine

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 A floating body approach to Fefferman's hypersurface measure

2006 ◽  
Vol 98 (1) ◽  
pp. 69 ◽  
Author(s):  
David E. Barrett
Keyword(s):  
Surface Area ◽  
Floating Body ◽  
Affine Surface ◽  
Affine Surface Area

The floating body approach to affine surface area is adapted to a holomorphic context providing an alternate approach to Fefferman's invariant hypersurface measure.

scholarly journals Functional Versions ofLp-Affine Surface Area and Entropy Inequalities

2015 ◽  
Vol 2016 (4) ◽  
pp. 1223-1250 ◽  
Author(s):  
Umut Caglar ◽  
Matthieu Fradelizi ◽  
Olivier Guédon ◽  
Joseph Lehec ◽  
Carsten Schütt ◽  
...  
Keyword(s):  
Surface Area ◽  
Affine Surface ◽  
Affine Surface Area ◽  
Entropy Inequalities
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