\(L_p\)-Brunn–Minkowski inequality for projection bodies

IF 0.6 3区数学 Q3 MATHEMATICS

Acta Mathematica Hungarica Pub Date : 2024-09-24 DOI:10.1007/s10474-024-01468-1

W. D. Wang

引用次数: 0

Abstract

Lutwak established the Brunn–Minkowski inequality for projection bodies. Schuster [13] obtained the Brunn–Minkowski inequality for polar projection bodies. Associated with the \(L_p\)-Minkowski combinations of convex bodies, we extend Lutwak's result and Schuster's result to \(L_p\) forms, respectively.

查看原文本刊更多论文

\投影体的布伦-闵科夫斯基不等式

Lutwak 建立了投影体的 Brunn-Minkowski 不等式。Schuster [13] 得到了极投影体的 Brunn-Minkowski 不等式。与凸体的\(L_p\)-Minkowski组合相关联，我们将Lutwak的结果和Schuster的结果分别扩展到\(L_p\)形式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Acta Mathematica Hungarica 数学-数学

CiteScore

1.50

自引率

11.10%

发文量

审稿时长

4-8 weeks

期刊介绍： Acta Mathematica Hungarica is devoted to publishing research articles of top quality in all areas of pure and applied mathematics as well as in theoretical computer science. The journal is published yearly in three volumes (two issues per volume, in total 6 issues) in both print and electronic formats. Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences.