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A Generalized Mixed Width Inequality and a Generalized Dual Mixed Radial Inequality

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Abstract

We show a generalized mixed width inequality by Ou–Pan’s k-order width function and a generalized dual mixed radial inequality by Zhang–Yang’s k-order radial function. As a by-product, we obtain the symmetric mixed isoperimetric inequality and the dual symmetric mixed isoperimetric inequality.

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Acknowledgements

We are grateful to the anonymous referee for his or her careful reading of the original manuscript of this paper and giving us some invaluable comments.

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Authors and Affiliations

  1. Discipline of Maths and Physics, College of Pharmacy, Henan University of Chinese Medicine, Zhengzhou, 450046, China

    Yueyue Mao

  2. School of Science, Dalian Maritime University, Dalian, 116026, China

    Yunlong Yang

Authors
  1. Yueyue Mao
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  2. Yunlong Yang
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Correspondence to Yunlong Yang.

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This work is supported in part by the Doctoral Scientific Research Foundation of Liaoning Province (No. 20170520382), the Fundamental Research Funds for the Central Universities (No. 3132019177) and Anhui Provincial Natural Science Foundation (No. 1908085MA05).

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Mao, Y., Yang, Y. A Generalized Mixed Width Inequality and a Generalized Dual Mixed Radial Inequality. Results Math 74, 123 (2019). https://doi.org/10.1007/s00025-019-1048-1

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