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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Main Authors:	Chu Yu-Ming, Xia Wei-Feng
Format:	Article
Language:	English
Published:	SpringerOpen 2009-01-01
Series:	Journal of Inequalities and Applications
Online Access:	http://www.journalofinequalitiesandapplications.com/content/2009/493759

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spelling	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
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Schur-Convexity for a Class of Symmetric Functions and Its Applications

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