Schur-Convexity for a Class of Symmetric Functions and Its Applications
<p/> <p>For <inline-formula> <graphic file="1029-242X-2009-493759-i1.gif"/></inline-formula>, the symmetric function <inline-formula> <graphic file="1029-242X-2009-493759-i2.gif"/></inline-formula> is defined by <inline-formula&g...
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Series: | Journal of Inequalities and Applications |
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doaj-d2dde947a4cf4cf485e10ce9c6654edf2020-11-24T21:53:28ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-01-0120091493759Schur-Convexity for a Class of Symmetric Functions and Its ApplicationsChu Yu-MingXia Wei-Feng<p/> <p>For <inline-formula> <graphic file="1029-242X-2009-493759-i1.gif"/></inline-formula>, the symmetric function <inline-formula> <graphic file="1029-242X-2009-493759-i2.gif"/></inline-formula> is defined by <inline-formula> <graphic file="1029-242X-2009-493759-i3.gif"/></inline-formula>, where <inline-formula> <graphic file="1029-242X-2009-493759-i4.gif"/></inline-formula> and <inline-formula> <graphic file="1029-242X-2009-493759-i5.gif"/></inline-formula> are positive integers. In this article, the Schur convexity, Schur multiplicative convexity and Schur harmonic convexity of <inline-formula> <graphic file="1029-242X-2009-493759-i6.gif"/></inline-formula> are discussed. As applications, some inequalities are established by use of the theory of majorization.</p>http://www.journalofinequalitiesandapplications.com/content/2009/493759 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Chu Yu-Ming Xia Wei-Feng |
spellingShingle |
Chu Yu-Ming Xia Wei-Feng Schur-Convexity for a Class of Symmetric Functions and Its Applications Journal of Inequalities and Applications |
author_facet |
Chu Yu-Ming Xia Wei-Feng |
author_sort |
Chu Yu-Ming |
title |
Schur-Convexity for a Class of Symmetric Functions and Its Applications |
title_short |
Schur-Convexity for a Class of Symmetric Functions and Its Applications |
title_full |
Schur-Convexity for a Class of Symmetric Functions and Its Applications |
title_fullStr |
Schur-Convexity for a Class of Symmetric Functions and Its Applications |
title_full_unstemmed |
Schur-Convexity for a Class of Symmetric Functions and Its Applications |
title_sort |
schur-convexity for a class of symmetric functions and its applications |
publisher |
SpringerOpen |
series |
Journal of Inequalities and Applications |
issn |
1025-5834 1029-242X |
publishDate |
2009-01-01 |
description |
<p/> <p>For <inline-formula> <graphic file="1029-242X-2009-493759-i1.gif"/></inline-formula>, the symmetric function <inline-formula> <graphic file="1029-242X-2009-493759-i2.gif"/></inline-formula> is defined by <inline-formula> <graphic file="1029-242X-2009-493759-i3.gif"/></inline-formula>, where <inline-formula> <graphic file="1029-242X-2009-493759-i4.gif"/></inline-formula> and <inline-formula> <graphic file="1029-242X-2009-493759-i5.gif"/></inline-formula> are positive integers. In this article, the Schur convexity, Schur multiplicative convexity and Schur harmonic convexity of <inline-formula> <graphic file="1029-242X-2009-493759-i6.gif"/></inline-formula> are discussed. As applications, some inequalities are established by use of the theory of majorization.</p> |
url |
http://www.journalofinequalitiesandapplications.com/content/2009/493759 |
work_keys_str_mv |
AT chuyuming schurconvexityforaclassofsymmetricfunctionsanditsapplications AT xiaweifeng schurconvexityforaclassofsymmetricfunctionsanditsapplications |
_version_ |
1725871940505174016 |