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- W1514279412 abstract "The sharp affine isoperimetric inequality that bounds the volume of the centroid body of a star body (from below) by the volume of the star body itself is the Busemann-Petty centroid inequality. A decade ago, the $L_p$ analogue of the classical Busemann- Petty centroid inequality was proved. Here, the definition of the centroid body is extended to an Orlicz centroid body of a star body, and the corresponding analogue of the Busemann-Petty centroid inequality is established for convex bodies." @default.
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- W1514279412 date "2010-02-01" @default.
- W1514279412 modified "2023-10-14" @default.
- W1514279412 title "Orlicz centroid bodies" @default.
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- W1514279412 doi "https://doi.org/10.4310/jdg/1274707317" @default.
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