Abstract
The purpose of this paper is to generalize the notion of intersection bodies to that of quasi L p -intersection bodies. The L p -analogs of the Busemann intersection inequality and the Brunn–Minkowski inequality for the quasi L p -intersection bodies are obtained. The Aleksandrov–Fenchel inequality for the mixed quasi L p -intersection bodies is also established.
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Yu, W.Y., Wu, D.H. & Leng, G.S. Quasi L p -Intersection Bodies. Acta Math Sinica 23, 1937–1948 (2007). https://doi.org/10.1007/s10114-007-0958-0
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DOI: https://doi.org/10.1007/s10114-007-0958-0
Keywords
- quasi L p -intersection bodies
- Busemann intersection inequality
- Brunn–Minkowski inequality
- Aleksandrov–Fenchel inequality