Abstract
The Orlicz–Lorentz Busemann–Petty centroid inequality for convex bodies was recently established by Nguyen (Advances in Applied Mathematics 92:99–121, 2006). In this paper, by the Steiner symmetrization of star bodies, an extension to star bodies will be obtained.
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Communicated by Adrian Constantin.
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Supported by the Natural Science Foundation of CQ CSTC (Grant No. cstc2020jcyj-msxmX0779), the Science and Technology Research Program of Chongqing Municipal Education Commission (Grant No. KJQN202201339) and Major Cultivation Project of Natural Science of Chongqing University of Arts and Sciences (Grant No. P2020SC09)
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Zhang, Z. The Orlicz–Lorentz centroid inequality for star bodies*. Monatsh Math 200, 179–190 (2023). https://doi.org/10.1007/s00605-022-01791-1
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DOI: https://doi.org/10.1007/s00605-022-01791-1