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

^*Corresponding author for this work

Department of Mathematics

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

20 Citations (Scopus)

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 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.

Original language	English
Article number	571
Journal	Journal of Inequalities and Applications
Volume	2013
DOIs	https://doi.org/10.1186/1029-242X-2013-571
Publication status	Published - 2013 Dec

Keywords

Circular cone
Convexity
Determinant
Trace

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.1186/1029-242X-2013-571

Cite this

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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 - 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

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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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JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

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Circular cone convexity and some inequalities associated with circular cones

Abstract

Keywords

ASJC Scopus subject areas

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