Shephard type problems for general \(L_p\)-projection bodies

DOI10.11650/twjm/1500406794zbMath1284.52014OpenAlexW4245856802MaRDI QIDQ1758308

Xiaoyan Wan, Wei-Dong Wang

Publication date: 9 November 2012

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://journal.taiwanmathsoc.org.tw/index.php/TJM/article/view/2383

zbMATH Keywords

Shephard problem\(L_p\)-affine surface areageneral \(L_p\)-projection body

Mathematics Subject Classification ID

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

Related Items (13)

Busemann-Petty Type Problem for the General $L_p$-Centroid Bodies ⋮ Extremum of geometric functionals involving general \(L_{p}\)-projection bodies ⋮ Volume extremals of general L_p-centroid bodies ⋮ A type of Busemann-Petty problems for general Lp-intersection bodies ⋮ Lp -dual geominimal surface areas for the general Lp-intersection bodies ⋮ General Lp-mixed width-integral of convex bodies and related inequalities ⋮ Mixed complex brightness integrals ⋮ Some inequalities for asymmetric L_p-mean zonoids ⋮ Some inequalities on general \(L_p\)-mixed brightness integrals ⋮ Lp-dual affine surface areas for the general Lp-intersection bodies ⋮ General \(L_{p}\)-mixed-brightness integrals ⋮ General \(L_{p}\)-dual Blaschke bodies and the applications ⋮ Shephard type problems for general \(L_{p}\)-centroid bodies

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