Circular cone convexity and some inequalities associated with circular cones

Jinchuan Zhou, Jein-Shan Chen, Hao Feng Hung

研究成果: 雜誌貢獻文章

16 引文 (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; 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
2013
DOIs
出版狀態已發佈 - 2013 十二月 1

指紋

Circular cone
Convexity
Cones
Differentiability
Determinant
Trace
Angle

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Discrete Mathematics and Combinatorics

引用此文

Circular cone convexity and some inequalities associated with circular cones. / Zhou, Jinchuan; Chen, Jein-Shan; Hung, Hao Feng.

於: Journal of Inequalities and Applications, 卷 2013, 571, 01.12.2013.

研究成果: 雜誌貢獻文章

@article{5a56830de7e44528a5ed0f7a17e12edc,
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 Jein-Shan Chen and Hung, {Hao Feng}",
year = "2013",
month = "12",
day = "1",
doi = "10.1186/1029-242X-2013-571",
language = "English",
volume = "2013",
journal = "Journal of Inequalities and Applications",
issn = "1025-5834",
publisher = "Springer Publishing Company",

}

TY - JOUR

T1 - Circular cone convexity and some inequalities associated with circular cones

AU - Zhou, Jinchuan

AU - Chen, Jein-Shan

AU - Hung, Hao Feng

PY - 2013/12/1

Y1 - 2013/12/1

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

UR - http://www.scopus.com/inward/record.url?scp=84897607323&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84897607323&partnerID=8YFLogxK

U2 - 10.1186/1029-242X-2013-571

DO - 10.1186/1029-242X-2013-571

M3 - Article

AN - SCOPUS:84897607323

VL - 2013

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

SN - 1025-5834

M1 - 571

ER -