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<p>In this paper, the Orlicz centroid function for log-concave functions is introduced. A rearrangement inequality of the Orlicz centroid function for log-concave functions is obtained. The rearrangement inequality implies the Orlicz Busemann-Petty centroid inequality of Lutwak, Yang and Zhang [23].</p>

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A functional Orlicz Busemann-Petty centroid inequality for log-concave functions

  • 期刊论文

  • 发表日期：

    2025年1月24日

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  • Xiao Li,
  • Jiazu Zhou

摘要

In this paper, the Orlicz centroid function for log-concave functions is introduced. A rearrangement inequality of the Orlicz centroid function for log-concave functions is obtained. The rearrangement inequality implies the Orlicz Busemann-Petty centroid inequality of Lutwak, Yang and Zhang [23].