Lp-dual three mixed quermassintegrals

IF 0.8 4区数学 Q2 MATHEMATICS

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2021-06-01 DOI:10.2478/auom-2021-0030

Chang-Jian Zhao, M. Bencze

引用次数: 0

Abstract

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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lp -对偶三混合quermass积分

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is founded by Mirela Stefanescu and Silviu Sburlan in 1993 and is devoted to pure and applied mathematics. Published by Faculty of Mathematics and Computer Science, Ovidius University, Constanta, Romania.