lp -对偶三混合quermass积分

Pub Date : 2021-06-01 DOI:10.2478/auom-2021-0030

Chang-Jian Zhao, M. Bencze

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引用次数: 0

摘要

摘要介绍了lp -对偶三混合quermass积分的概念。证明了关于p-径向加法的lp -对偶三混合quermass积分公式。建立了lp -对偶三混合quermass积分的Lp-Minkowski不等式和Brunn-Minkowski型不等式。得到了新的Lp-Minkowski不等式，推广了一类Minkowski型不等式。利用Lp-Brunn-Minkowski不等式得到一系列Brunn-Minkowski型不等式。

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Lp-dual three mixed quermassintegrals

Abstract In the paper, the concept of Lp-dual three-mixed quermassintegrals is introduced. The formula for the Lp-dual three-mixed quermassintegrals with respect to the p-radial addition is proved. Inequalities of Lp-Minkowski, and Brunn-Minkowski type for the Lp-dual three-mixed quermassintegrals are established. The new Lp-Minkowski inequality is obtained that generalize a family of Minkowski type inequalities. The Lp-Brunn-Minkowski inequality is used to obtain a series of Brunn-Minkowski type inequalities.

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