$q$-Quermassintegral forms of the $L_p$-Busemann–Petty centroid inequality

IF 0.7 4区数学 Q2 MATHEMATICS

Annales Polonici Mathematici Pub Date : 2023-01-01 DOI:10.4064/ap221124-29-5

Hui Xue, Weidong Wang

引用次数: 0

Abstract

Lutwak, Yang and Zhang established the $L_p$-Busemann–Petty centroid inequality. We establish the $q$-quermassintegral forms of the $L_p$-Busemann–Petty centroid inequality for convex bodies. As special cases, we obtain the quermassintegral and harmonic q

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$L_p$ -Busemann-Petty质心不等式的$q$- quermass积分形式

Lutwak、Yang和Zhang建立了$L_p$ -Busemann-Petty质心不等式。建立了凸体的L_p -Busemann-Petty质心不等式的q -quermass积分形式。作为特殊情况，我们得到了量子积分和谐波q

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

Annales Polonici Mathematici 数学-数学

CiteScore

0.90

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： Annales Polonici Mathematici is a continuation of Annales de la Société Polonaise de Mathématique (vols. I–XXV) founded in 1921 by Stanisław Zaremba. The journal publishes papers in Mathematical Analysis and Geometry. Each volume appears in three issues.