The \(L_p\) Loomis-Whitney inequality

DOI10.1016/j.aam.2016.01.003zbMath1336.52008OpenAlexW2278472258MaRDI QIDQ256336

Ai-Jun Li, Qingzhong Huang

Publication date: 9 March 2016

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

Full work available at URL: https://doi.org/10.1016/j.aam.2016.01.003

zbMATH Keywords

\(L_p\) Loomis-Whitney inequality\(L_p\) projection body\(L_p\) zonoidgeneralized \(\ell_p^n\)-ball

Mathematics Subject Classification ID

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

Related Items (16)

On the 2-dimensional dual Minkowski problem ⋮ Volume inequalities of convex bodies from cosine transforms on Grassmann manifolds ⋮ The dual Loomis–Whitney inequality ⋮ Volume inequalities for sections and projections of Wulff shapes and their polars ⋮ The complex L_p Loomis-Whitney inequality ⋮ \(L_\infty \) Loomis-Whitney inequalities ⋮ A Grassmannian Loomis–Whitney inequality and its dual ⋮ Sections and projections of \(L_p\)-zonoids and their polars ⋮ An extremal property of \(p\)-mean width ⋮ Dual Orlicz mixed affine quermassintegrals ⋮ Mixed \(L_p\) projection inequality ⋮ The \(L^p\) Gagliardo-Nirenberg-Zhang inequality ⋮ On extensions of the Loomis-Whitney inequality and Ball's inequality for concave, homogeneous measures ⋮ On the reverse dual Loomis-Whitney inequality ⋮ Variational characterization for the planar dual Minkowski problem ⋮ Inequalities about normalized L_p projection body

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