The Orlicz chord Minkowski problem for polytopes

IF 0.6 3区数学 Q3 MATHEMATICS

Acta Mathematica Hungarica Pub Date : 2026-01-30 DOI:10.1007/s10474-026-01586-y

W. Chen, H. Jin, S. Li

引用次数: 0

Abstract

In this paper, we study the Orlicz chord Minkowski problem in the case that the Orlicz function \(\varphi\colon (0,\infty)\to(0,\infty)\) is a continuously differentiable, strictly increasing convex function. The existence of the discrete Orlicz chord Minkowski problem is proved, which is an extension of the discrete \(L_p (p<0)\) chord Minkowski problem.

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多面体的Orlicz弦Minkowski问题

本文研究了Orlicz函数\(\varphi\colon (0,\infty)\to(0,\infty)\)为连续可微的严格递增凸函数时的Orlicz弦Minkowski问题。证明了离散Orlicz弦Minkowski问题的存在性，它是离散\(L_p (p<0)\)弦Minkowski问题的推广。

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

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.