|
|
|
|
Volume 7, Issue 1, Article 27 |
|
|
|
|
|
|
The Extension of Majorization Inequalities within the Framework of Relative Convexity
|
|
|
Authors: |
Constantin P. Niculescu, Florin Popovici, |
|
|
|
Keywords:
|
Relative convexity, Majorization, Abel summation formula. |
|
|
|
Date Received:
|
12/07/05 |
|
|
|
Date Accepted:
|
07/12/05 |
|
|
|
Subject Codes: |
Prim: 26A51, 26D15; Sec: 26D05.
|
|
|
|
Editors: |
Sever S. Dragomir, |
|
|
|
|
|
|
|
|
|
Abstract: |
Some of the basic inequalities in majorization theory (Hardy-Littlewood-Pólya, Tomic-Weyl and Fuchs) are extended to the framework of relative convexity.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|