Brunn-Minkowski and Zhang inequalities for convolution bodies

DOI10.1016/j.aim.2013.01.013zbMath1281.52005arXiv1112.4757OpenAlexW2090041209MaRDI QIDQ387876

David Alonso-Gutiérrez, Rafael Villa, Carlos Hugo Jiménez

Publication date: 17 December 2013

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.4757

zbMATH Keywords

Brunn-Minkowski inequalityconvolution bodyZhang inequality

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40)

Related Items (9)

Volume inequalities of convex bodies from cosine transforms on Grassmann manifolds ⋮ Rogers-Shephard inequality for log-concave functions ⋮ A note on the reduction of the slicing problem to centrally symmetric convex bodies ⋮ Brunn-Minkowski inequality for \(\theta\)-convolution bodies via Ball's bodies ⋮ Zhang’s Inequality for Log-Concave Functions ⋮ A reverse Rogers-Shephard inequality for log-concave functions ⋮ Volume inequalities for the \(i\)-th-convolution bodies ⋮ Rogers-Shephard and local Loomis-Whitney type inequalities ⋮ On the convolution bodies of \(L_p\)-addition

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