The Petty projection inequality for \(L_p\)-mixed projection bodies

DOI10.1007/s10114-005-0894-9zbMath1128.52006OpenAlexW2467499220MaRDI QIDQ2385340

Wei-Dong Wang, Gang Song Leng

Publication date: 12 October 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0894-9

zbMATH Keywords

Petty projection inequality\(L_p\)-mixed projection body\(L_p\)-centroid body\(L_p\)-projection body\(L_p\)-mixed quermassintegrals

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Mixed volumes and related topics in convex geometry (52A39) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (10)

Busemann-Petty Type Problem for the General $L_p$-Centroid Bodies ⋮ Extremum of geometric functionals involving general \(L_{p}\)-projection bodies ⋮ The generalized \(L_p\)-mixed affine surface area ⋮ Petty projection inequalities for the general L p -mixed projection bodies ⋮ Some inequalities for the L p -mixed quermassintegrals ⋮ Some inequalities related to \((i,j)\)-type \(L_p\)-mixed affine surface area and \(L_p\)-mixed curvature image ⋮ Inequalities for the radial p-th mean bodies ⋮ The Shephard type problems and monotonicity for \(L_{p}\)-mixed centroid body ⋮ Mixed \(L_p\) projection inequality ⋮ Shephard Type Problem for Lp-mixed Blaschke-Minkowski homomorphisms

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