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A Quermassintegral Form of the \(L_p\)-Busemann–Petty Centroid Inequality

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Abstract

Lutwak, Yang and Zhang established the \(L_p\)-Busemann–Petty centroid inequality. In this paper, we give a quermassintegral form of this inequality for convex bodies.

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Acknowledgements

The author likes to sincerely thank the reviewer for very valuable and helpful comments and suggestions which made the paper more accurate and readable.

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Authors and Affiliations

  1. Department of Mathematics, China Three Gorges University, Yichang, China

    Weidong Wang

  2. Three Gorges Mathematical Research Center, China Three Gorges University, Yichang, China

    Weidong Wang

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  1. Weidong Wang
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Correspondence to Weidong Wang.

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Research is supported by the Natural Science Foundation of China (Grant No.11371224).

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Wang, W. A Quermassintegral Form of the \(L_p\)-Busemann–Petty Centroid Inequality. J Geom Anal 32, 111 (2022). https://doi.org/10.1007/s12220-021-00848-1

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  • DOI: https://doi.org/10.1007/s12220-021-00848-1

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