Some inequalities for means defined on the lorentz cone

Yu Lin Chang; Chien Hao Huang; Jein Shan Chen; Chu Chin Hu

doi:10.7153/mia-2018-21-69

Some inequalities for means defined on the lorentz cone

Yu Lin Chang, Chien Hao Huang, Jein Shan Chen, Chu Chin Hu

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

2 引文斯高帕斯（Scopus）

摘要

In this paper, we define various means associated with Lorentz cones (also known as second-order cones), which are new concepts and natural extensions of traditional arithmetic mean, harmonic mean, and geometric mean, logarithmic mean. Based on these means defined on the Lorentz cone, some inequalities and trace inequalities are established.

原文	英語
頁（從 - 到）	1015-1028
頁數	14
期刊	Mathematical Inequalities and Applications
卷	21
發行號	4
DOIs	https://doi.org/10.7153/mia-2018-21-69
出版狀態	已發佈 - 2018 10月

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一般數學
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10.7153/mia-2018-21-69

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abstract = "In this paper, we define various means associated with Lorentz cones (also known as second-order cones), which are new concepts and natural extensions of traditional arithmetic mean, harmonic mean, and geometric mean, logarithmic mean. Based on these means defined on the Lorentz cone, some inequalities and trace inequalities are established.",

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author = "Chang, {Yu Lin} and Huang, {Chien Hao} and Chen, {Jein Shan} and Hu, {Chu Chin}",

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AU - Chen, Jein Shan

AU - Hu, Chu Chin

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N2 - In this paper, we define various means associated with Lorentz cones (also known as second-order cones), which are new concepts and natural extensions of traditional arithmetic mean, harmonic mean, and geometric mean, logarithmic mean. Based on these means defined on the Lorentz cone, some inequalities and trace inequalities are established.

AB - In this paper, we define various means associated with Lorentz cones (also known as second-order cones), which are new concepts and natural extensions of traditional arithmetic mean, harmonic mean, and geometric mean, logarithmic mean. Based on these means defined on the Lorentz cone, some inequalities and trace inequalities are established.

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KW - Mean

KW - SOC-convex

KW - SOC-monotone.

KW - Second-order cone

KW - Trace

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Some inequalities for means defined on the lorentz cone

摘要

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