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)
Author NameAffiliation
ZHAO Changjian Department of Mathematics, China Jiliang University, Hangzhou 310018, China. 
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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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