Circular cone convexity and some inequalities associated with circular cones

Jinchuan Zhou; Jein Shan Chen; Hao Feng Hung

doi:10.1186/1029-242X-2013-571

Circular cone convexity and some inequalities associated with circular cones

Jinchuan Zhou
, Jein Shan Chen^*
, Hao Feng Hung

^*此作品的通信作者

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

21 引文斯高帕斯（Scopus）

摘要

The study of this paper consists of two aspects. One is characterizing the so-called circular cone convexity of f by exploiting the second-order differentiability of f^Lθ; the other is introducing the concepts of determinant and trace associated with circular cone and establishing their basic inequalities. These results show the essential role played by the angle θ, which gives us a new insight when looking into properties about circular cone.

原文	英語
文章編號	571
期刊	Journal of Inequalities and Applications
卷	2013
DOIs	https://doi.org/10.1186/1029-242X-2013-571
出版狀態	已發佈 - 2013 12月

ASJC Scopus subject areas

分析
離散數學和組合
應用數學

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10.1186/1029-242X-2013-571

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title = "Circular cone convexity and some inequalities associated with circular cones",

abstract = "The study of this paper consists of two aspects. One is characterizing the so-called circular cone convexity of f by exploiting the second-order differentiability of fLθ; the other is introducing the concepts of determinant and trace associated with circular cone and establishing their basic inequalities. These results show the essential role played by the angle θ, which gives us a new insight when looking into properties about circular cone.",

keywords = "Circular cone, Convexity, Determinant, Trace",

author = "Jinchuan Zhou and Chen, \{Jein Shan\} and Hung, \{Hao Feng\}",

note = "Funding Information: We are gratefully indebted to anonymous referees for their valuable suggestions that helped us to essentially improve the original presentation of the paper. The first author{\textquoteright}s work is supported by the National Natural Science Foundation of China (11101248, 11271233) and Shandong Province Natural Science Foundation (ZR2010AQ026, ZR2012AM016). The second author{\textquoteright}s work is supported by the National Science Council of Taiwan. ",

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AU - Zhou, Jinchuan

AU - Chen, Jein Shan

AU - Hung, Hao Feng

N1 - Funding Information: We are gratefully indebted to anonymous referees for their valuable suggestions that helped us to essentially improve the original presentation of the paper. The first author’s work is supported by the National Natural Science Foundation of China (11101248, 11271233) and Shandong Province Natural Science Foundation (ZR2010AQ026, ZR2012AM016). The second author’s work is supported by the National Science Council of Taiwan.

PY - 2013/12

Y1 - 2013/12

N2 - The study of this paper consists of two aspects. One is characterizing the so-called circular cone convexity of f by exploiting the second-order differentiability of fLθ; the other is introducing the concepts of determinant and trace associated with circular cone and establishing their basic inequalities. These results show the essential role played by the angle θ, which gives us a new insight when looking into properties about circular cone.

AB - The study of this paper consists of two aspects. One is characterizing the so-called circular cone convexity of f by exploiting the second-order differentiability of fLθ; the other is introducing the concepts of determinant and trace associated with circular cone and establishing their basic inequalities. These results show the essential role played by the angle θ, which gives us a new insight when looking into properties about circular cone.

KW - Circular cone

KW - Convexity

KW - Determinant

KW - Trace

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UR - https://www.scopus.com/pages/publications/84897607323#tab=citedBy

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VL - 2013

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

M1 - 571

ER -

Circular cone convexity and some inequalities associated with circular cones

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