Scholarlink

<p>In this paper, we study the Orlicz chord Minkowski problem in the case that the Orlicz function <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\varphi\colon (0,\infty)\to(0,\infty)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>φ</mi> <mo lspace="0pt">:</mo> <mo stretchy="false">(</mo> <mn>0</mn> <mo>,</mo> <mi>∞</mi> <mo stretchy="false">)</mo> <mo stretchy="false">→</mo> <mo stretchy="false">(</mo> <mn>0</mn> <mo>,</mo> <mi>∞</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> 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 <InlineEquation ID="IEq10"> <EquationSource Format="TEX">\(L_p (p&lt;0)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>L</mi> <mi>p</mi> </msub> <mrow> <mo stretchy="false">(</mo> <mi>p</mi> <mo>&lt;</mo> <mn>0</mn> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation> chord Minkowski problem.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

The Orlicz chord Minkowski problem for polytopes

  • 期刊论文

  • 发表日期：

    2025年12月1日

查看全文
  • W. Chen,
  • H. Jin,
  • S. Li

摘要

In this paper, we study the Orlicz chord Minkowski problem in the case that the Orlicz function \(\varphi\colon (0,\infty)\to(0,\infty)\) φ : ( 0 , ∞ ) → ( 0 , ∞ ) 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 \(L_p (p<0)\) L p ( p < 0 ) chord Minkowski problem.