Generalized Intersection Bodies with Parameter |
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| Authors: | Rui Zhang Tongyi Ma |
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| Institution: | 1.College of Mathematics and Statistics,Northwest Normal University,Lanzhou, Gansu,China;2.College of Mathematics and Statistics,Hexi University,Zhangye, Gansu,China |
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| 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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