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Busemann-Petty Type Problem for the General Lp-Centroid Bodies

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Lutwak showed the Busemann-Petty type problem(also called the Shep-hard type problem)for the centroid bodies.Grinberg and Zhang gave an affirmation and a negative form of the Busemann-Petty type problem for the Lp-centroid bodies.In this paper,we obtain an affirmation form and two negative forms of the Busemann-Petty type problem for the general Lp-centroid bodies.

Lp-centroid bodygeneral Lp-centroid bodyBusemann-Petty problemaffirmation formnegation form

Weidong Wang

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Three Gorges Mathematical Research Center,China Three Gorges University,Yichang,Hubei 443002,China

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

Natural Science Foundation of China

11371224

2023

分析、理论与应用(英文版)
南京大学

分析、理论与应用(英文版)

CSCD北大核心
影响因子:0.111
ISSN:1672-4070
年,卷(期):2023.39(1)
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