Trace versions of young inequality and its applications

Chien Hao Huang; Jein Shan Chen; Chu Chin Hu

Trace versions of young inequality and its applications

Chien Hao Huang, Jein Shan Chen^*, Chu Chin Hu

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

In this paper, we derive a few type of trace versions of Young in- equality associated with second-order cone, which can be applied to derive the Holder inequality, Minkowski inequality. Moreover, the triangular inequality is also considered.

Original language	English
Pages (from-to)	215-228
Number of pages	14
Journal	Journal of Nonlinear and Convex Analysis
Volume	20
Issue number	2
Publication status	Published - 2019

Keywords

Euclidean Jordan algebra
Holder inequality
Minkowski inequality
Second-order cone
Triangular inequality
Young inequality

ASJC Scopus subject areas

Analysis
Geometry and Topology
Control and Optimization
Applied Mathematics

Cite this

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title = "Trace versions of young inequality and its applications",

abstract = "In this paper, we derive a few type of trace versions of Young in- equality associated with second-order cone, which can be applied to derive the Holder inequality, Minkowski inequality. Moreover, the triangular inequality is also considered.",

keywords = "Euclidean Jordan algebra, Holder inequality, Minkowski inequality, Second-order cone, Triangular inequality, Young inequality",

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

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language = "English",

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journal = "Journal of Nonlinear and Convex Analysis",

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T1 - Trace versions of young inequality and its applications

AU - Huang, Chien Hao

AU - Chen, Jein Shan

AU - Hu, Chu Chin

PY - 2019

Y1 - 2019

N2 - In this paper, we derive a few type of trace versions of Young in- equality associated with second-order cone, which can be applied to derive the Holder inequality, Minkowski inequality. Moreover, the triangular inequality is also considered.

AB - In this paper, we derive a few type of trace versions of Young in- equality associated with second-order cone, which can be applied to derive the Holder inequality, Minkowski inequality. Moreover, the triangular inequality is also considered.

KW - Euclidean Jordan algebra

KW - Holder inequality

KW - Minkowski inequality

KW - Second-order cone

KW - Triangular inequality

KW - Young inequality

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M3 - Article

AN - SCOPUS:85058189526

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VL - 20

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EP - 228

JO - Journal of Nonlinear and Convex Analysis

JF - Journal of Nonlinear and Convex Analysis

IS - 2

ER -

Trace versions of young inequality and its applications

Abstract

Keywords

ASJC Scopus subject areas

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