On Schur Convexity of Some Symmetric Functions
<p/> <p>For <inline-formula> <graphic file="1029-242X-2010-543250-i1.gif"/></inline-formula> and <inline-formula> <graphic file="1029-242X-2010-543250-i2.gif"/></inline-formula>, the symmetric function <inline-formula> <gra...
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| Language: | English |
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2010-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2010/543250 |
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doaj-b4862d7843754d8bac442e23cb068cf62020-11-24T21:25:58ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101543250On Schur Convexity of Some Symmetric FunctionsChu Yu-MingXia Wei-Feng<p/> <p>For <inline-formula> <graphic file="1029-242X-2010-543250-i1.gif"/></inline-formula> and <inline-formula> <graphic file="1029-242X-2010-543250-i2.gif"/></inline-formula>, the symmetric function <inline-formula> <graphic file="1029-242X-2010-543250-i3.gif"/></inline-formula> is defined as <inline-formula> <graphic file="1029-242X-2010-543250-i4.gif"/></inline-formula>, where <inline-formula> <graphic file="1029-242X-2010-543250-i5.gif"/></inline-formula> are positive integers. In this paper, the Schur convexity, Schur multiplicative convexity, and Schur harmonic convexity of <inline-formula> <graphic file="1029-242X-2010-543250-i6.gif"/></inline-formula> are discussed. As consequences, several inequalities are established by use of the theory of majorization.</p>http://www.journalofinequalitiesandapplications.com/content/2010/543250 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Chu Yu-Ming Xia Wei-Feng |
| spellingShingle |
Chu Yu-Ming Xia Wei-Feng On Schur Convexity of Some Symmetric Functions Journal of Inequalities and Applications |
| author_facet |
Chu Yu-Ming Xia Wei-Feng |
| author_sort |
Chu Yu-Ming |
| title |
On Schur Convexity of Some Symmetric Functions |
| title_short |
On Schur Convexity of Some Symmetric Functions |
| title_full |
On Schur Convexity of Some Symmetric Functions |
| title_fullStr |
On Schur Convexity of Some Symmetric Functions |
| title_full_unstemmed |
On Schur Convexity of Some Symmetric Functions |
| title_sort |
on schur convexity of some symmetric functions |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1025-5834 1029-242X |
| publishDate |
2010-01-01 |
| description |
<p/> <p>For <inline-formula> <graphic file="1029-242X-2010-543250-i1.gif"/></inline-formula> and <inline-formula> <graphic file="1029-242X-2010-543250-i2.gif"/></inline-formula>, the symmetric function <inline-formula> <graphic file="1029-242X-2010-543250-i3.gif"/></inline-formula> is defined as <inline-formula> <graphic file="1029-242X-2010-543250-i4.gif"/></inline-formula>, where <inline-formula> <graphic file="1029-242X-2010-543250-i5.gif"/></inline-formula> are positive integers. In this paper, the Schur convexity, Schur multiplicative convexity, and Schur harmonic convexity of <inline-formula> <graphic file="1029-242X-2010-543250-i6.gif"/></inline-formula> are discussed. As consequences, several inequalities are established by use of the theory of majorization.</p> |
| url |
http://www.journalofinequalitiesandapplications.com/content/2010/543250 |
| work_keys_str_mv |
AT chuyuming onschurconvexityofsomesymmetricfunctions AT xiaweifeng onschurconvexityofsomesymmetricfunctions |
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1725981686343139328 |