Inequalities for radial Blaschke-Minkowski homomorphisms

Bo Wei; Weidong Wang; Fenghong Lu

Annales Polonici Mathematici (2015)

  • Volume: 113, Issue: 3, page 243-253
  • ISSN: 0066-2216

Abstract

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We establish L p Brunn-Minkowski type inequalities for radial Blaschke-Minkowski homomorphisms, which in special cases yield some new results for intersection bodies. Moreover, we obtain two monotonicity inequalities for radial Blaschke-Minkowski homomorphisms.

How to cite

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Bo Wei, Weidong Wang, and Fenghong Lu. "Inequalities for radial Blaschke-Minkowski homomorphisms." Annales Polonici Mathematici 113.3 (2015): 243-253. <http://eudml.org/doc/280209>.

@article{BoWei2015,
abstract = {We establish $L_p$ Brunn-Minkowski type inequalities for radial Blaschke-Minkowski homomorphisms, which in special cases yield some new results for intersection bodies. Moreover, we obtain two monotonicity inequalities for radial Blaschke-Minkowski homomorphisms.},
author = {Bo Wei, Weidong Wang, Fenghong Lu},
journal = {Annales Polonici Mathematici},
keywords = {star body; intersection body; radial Blaschke-Minkowski homomorphism; Brunn-Minkowski type inequality; monotonicity; volume inequalities},
language = {eng},
number = {3},
pages = {243-253},
title = {Inequalities for radial Blaschke-Minkowski homomorphisms},
url = {http://eudml.org/doc/280209},
volume = {113},
year = {2015},
}

TY - JOUR
AU - Bo Wei
AU - Weidong Wang
AU - Fenghong Lu
TI - Inequalities for radial Blaschke-Minkowski homomorphisms
JO - Annales Polonici Mathematici
PY - 2015
VL - 113
IS - 3
SP - 243
EP - 253
AB - We establish $L_p$ Brunn-Minkowski type inequalities for radial Blaschke-Minkowski homomorphisms, which in special cases yield some new results for intersection bodies. Moreover, we obtain two monotonicity inequalities for radial Blaschke-Minkowski homomorphisms.
LA - eng
KW - star body; intersection body; radial Blaschke-Minkowski homomorphism; Brunn-Minkowski type inequality; monotonicity; volume inequalities
UR - http://eudml.org/doc/280209
ER -

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