General \(L_{p}\)-dual Blaschke bodies and the applications

DOI10.1186/s13660-015-0756-7zbMath1335.52010OpenAlexW1877385035WikidataQ59434713 ScholiaQ59434713MaRDI QIDQ260187

Jianye Wang, Wei-Dong Wang

Publication date: 18 March 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-015-0756-7

zbMATH Keywords

volume\(L_{p}\)-Busemann-Petty problem\(L_{p}\)-dual affine surface areaextremal valuegeneral \(L_{p}\)-dual Blaschke 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 (8)

Lp -dual geominimal surface areas for the general Lp-intersection bodies ⋮ The Busemann-Petty problem for \(L_p\)-mixed radial Blaschke-Minkowski homomorphisms ⋮ Some inequalities forL_pradial Blaschke-Minkowski homomorphisms ⋮ Some Brunn-Minkowski type inequalities for \(L_{p}\) radial Blaschke-Minkowski homomorphisms ⋮ Some inequalities for asymmetric L_p-mean zonoids ⋮ Some inequalities on general \(L_p\)-mixed brightness integrals ⋮ On the Negative Solutions of L_p-Busemann-Petty Problem ⋮ Lp-dual affine surface areas for the general Lp-intersection bodies

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