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Quasi L p -Intersection Bodies

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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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Authors and Affiliations

  1. Institute of Management Decision & Innovation, Hangzhou Dianzi University, Zhejiang, 310018, P. R. China

    Wu Yang Yu

  2. Department of Mathematics, Shanghai University, Shanghai, 200444, P. R. China

    Dong Hua Wu & Gang Song Leng

Authors
  1. Wu Yang Yu
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  2. Dong Hua Wu
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  3. Gang Song Leng
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Correspondence to Wu Yang Yu.

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Supported by National Natural Sciences Foundation of China (10671117)

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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

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