Affine isoperimetric inequalities for \(L_p\)-intersection bodies
An \(L_p\)-analogue of the Busemann intersection inequality and an \(L_p\)-dual analog of the \(L_p\)-Petty projection inequality for the \(L_p\)-intersection body (\(p\leq -1\)) are established. Moreover, the Busemann-Petty problem is studied and inequalities for the volume of an \(L_p\)-intersection body (\(p\leq -1\)) are proved.
scientific article; zbMATH DE number 5720616
scientific article