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Inequalities for mixed width-integrals

  • Mathematics
  • Published:
Wuhan University Journal of Natural Sciences

Abstract

In this paper, Brunn-Minkowski inequality and Dresher-type inequality for mixed width-integrals of Firey’s p-sum are established. Further, we present the Dresher-type inequalities for dual quermassintegrals of the polar of Lp projection body and Lp centroid body, which in special cases yield some previous inequalities.

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Author information

Authors and Affiliations

  1. College of Science, China Three Gorges University, Yichang 443002, Hubei, China

    Ting Zhang & Weidong Wang

Authors
  1. Ting Zhang
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  2. Weidong Wang
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Corresponding author

Correspondence to Weidong Wang.

Additional information

Foundation item: Supported by the National Natural Science Foundation of China (11371224), the Innovation Foundation of Graduate Student of China Three Gorges University (2014CX097) and Excellent Foundation of Degree Dissertation of Master of China Three Gorges University (2015PY071)

Biography: ZHANG Ting, female, Master candidate, research direction: convex geometric analysis.

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Zhang, T., Wang, W. Inequalities for mixed width-integrals. Wuhan Univ. J. Nat. Sci. 21, 185–190 (2016). https://doi.org/10.1007/s11859-016-1157-6

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  • DOI: https://doi.org/10.1007/s11859-016-1157-6

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