A Perspective Approach for Characterization of Lieb Concavity Theorem
Lieb’s extension theorem holds for generalized p + q ∈ [0; 1] and Ando convexity theorem holds for q - r > 1. In this paper, we give a complete characterization for concavity or convexity of Lieb well known theorem in the case where p + q ≥ 1 or p+q ≤ 0. We also characterize some auxiliary result...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2016-12-01
|
| Series: | Demonstratio Mathematica |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/dema.2016.49.issue-4/dema-2016-0040/dema-2016-0040.xml?format=INT |
| id |
doaj-6b99d4dfcbfb4df3bf75b4334e87d6ac |
|---|---|
| record_format |
Article |
| spelling |
doaj-6b99d4dfcbfb4df3bf75b4334e87d6ac2020-11-24T21:34:06ZengDe GruyterDemonstratio Mathematica0420-12132391-46612016-12-0149446346910.1515/dema-2016-0040dema-2016-0040A Perspective Approach for Characterization of Lieb Concavity TheoremNikoufar Ismail0Department Of Mathematics Payame Noor University P.O. Box 19395-3697 Tehran, IranLieb’s extension theorem holds for generalized p + q ∈ [0; 1] and Ando convexity theorem holds for q - r > 1. In this paper, we give a complete characterization for concavity or convexity of Lieb well known theorem in the case where p + q ≥ 1 or p+q ≤ 0. We also characterize some auxiliary results including Ando theorem for q-r ≤ 1.http://www.degruyter.com/view/j/dema.2016.49.issue-4/dema-2016-0040/dema-2016-0040.xml?format=INTperspective functiongeneralized perspective functionmatrix convex function |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Nikoufar Ismail |
| spellingShingle |
Nikoufar Ismail A Perspective Approach for Characterization of Lieb Concavity Theorem Demonstratio Mathematica perspective function generalized perspective function matrix convex function |
| author_facet |
Nikoufar Ismail |
| author_sort |
Nikoufar Ismail |
| title |
A Perspective Approach for Characterization of Lieb Concavity Theorem |
| title_short |
A Perspective Approach for Characterization of Lieb Concavity Theorem |
| title_full |
A Perspective Approach for Characterization of Lieb Concavity Theorem |
| title_fullStr |
A Perspective Approach for Characterization of Lieb Concavity Theorem |
| title_full_unstemmed |
A Perspective Approach for Characterization of Lieb Concavity Theorem |
| title_sort |
perspective approach for characterization of lieb concavity theorem |
| publisher |
De Gruyter |
| series |
Demonstratio Mathematica |
| issn |
0420-1213 2391-4661 |
| publishDate |
2016-12-01 |
| description |
Lieb’s extension theorem holds for generalized p + q ∈ [0; 1] and Ando convexity theorem holds for q - r > 1. In this paper, we give a complete characterization for concavity or convexity of Lieb well known theorem in the case where p + q ≥ 1 or p+q ≤ 0. We also characterize some auxiliary results including Ando theorem for q-r ≤ 1. |
| topic |
perspective function generalized perspective function matrix convex function |
| url |
http://www.degruyter.com/view/j/dema.2016.49.issue-4/dema-2016-0040/dema-2016-0040.xml?format=INT |
| work_keys_str_mv |
AT nikoufarismail aperspectiveapproachforcharacterizationofliebconcavitytheorem AT nikoufarismail perspectiveapproachforcharacterizationofliebconcavitytheorem |
| _version_ |
1725950454548922368 |