| 赵长健.Orlicz φ-弦对数Minkowski不等式[J].数学年刊A辑,2024,(1):15~24 |
| Orlicz φ-弦对数Minkowski不等式 |
| Orlicz φ-Chord Log-Minkowski Inequality |
| Received:June 26, 2023 Revised:March 03, 2024 |
| DOI：10.16205/j.cnki.cama.2024.0002 |
| 中文关键词: 混合弦积分 L＿p-混合弦积分 Orlicz混合弦积分 对数Minkowski不等式 弦对数Minkowski不等式 |
| 英文关键词:Mixed chord integral Lp-Mixed chord integral Orlicz mixed chord integral Logarithmic Minkowski inequality Chord logarithmic Minkowski inequality |
| 基金项目:国家自然科学基金 (No.,11371334, No.,10971205) |
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| 中文摘要: |
| 本文通过引进新的混合弦测度和Orlicz混合弦测度概念,并且利用新近建立的Orlicz弦Minkowski不等式,建立了Orlicz空间上的混合弦积分的φ-弦对数Minkowski不等式.我们的结果φ-弦对数Minkowski不等式,在两种特殊情况下分别产生了弦对数Minkowski不等式和Lp-弦对数Minkowski不等式. |
| 英文摘要: |
| In this paper, the author establishs the φ-chord logarithmic Minkowski inequality for mixed chord integrals by introducing the concepts of mixed chord measure and Orlicz mixed chord measure and using the Orlicz chord inequality recently established. The φ-chord logarithmic Minkowski inequality in two special cases yields the logarithmic chord Minkowski inequality and the Lp-logarithmic chord Minkowski inequality, respectively. |
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