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Generalized Intersection Bodies with Parameter

  • Mathematics
  • Published:
Wuhan University Journal of Natural Sciences

Abstract

AIn 2005, the classical intersection bodies and Lp intersection bodies were extended. Afterwards, the concept of general Lp intersection bodies and the generalized intersection bodies was introduced. In this paper, we define the generalized bodies with parameter. Besides, we establish the extremal values for volume, Brunn-Minkowski type inequality for radial combination and Lp harmonic Blaschke combination of this notion.

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Author information

Authors and Affiliations

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou, Gansu, 730070, China

    Rui Zhang

  2. College of Mathematics and Statistics, Hexi University, Zhangye, Gansu, 734000, China

    Tongyi Ma

Authors
  1. Rui Zhang
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  2. Tongyi Ma
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Corresponding author

Correspondence to Tongyi Ma.

Additional information

Foundation item: Supported by the National Natural Science Foundation of China (11561020, 11161019)

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Zhang, R., Ma, T. Generalized Intersection Bodies with Parameter. Wuhan Univ. J. Nat. Sci. 23, 301–308 (2018). https://doi.org/10.1007/s11859-018-1326-x

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  • DOI: https://doi.org/10.1007/s11859-018-1326-x

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