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• W2963969211 abstract "We provide functional analogues of the classical geometric inequality of Rogers and Shephard on products of volumes of sections and projections. As a consequence we recover (and obtain some new) functional versions of Rogers–Shephard type inequalities as well as some generalizations of the geometric Rogers–Shephard inequality in the case where the subspaces intersect. These generalizations can be regarded as sharp local reverse Loomis–Whitney inequalities. We also obtain a sharp local Loomis–Whitney inequality." @default.
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• W2963969211 date "2019-05-04" @default.
• W2963969211 modified "2023-10-15" @default.
• W2963969211 title "Rogers–Shephard and local Loomis–Whitney type inequalities" @default.
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• W2963969211 doi "https://doi.org/10.1007/s00208-019-01834-3" @default.
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