Refinements of Inequalities among Difference of Means

In this paper, for the difference of famous means discussed by Taneja in 2005, we study the Schur-geometric convexity in (0, ∞) × (0, ∞) of the difference between them. Moreover some inequalities related to the difference of those means are obtained.

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Main Authors: Huan-Nan Shi, Da-Mao Li, Jian Zhang
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2012/315697
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author Huan-Nan Shi
Da-Mao Li
Jian Zhang
author_facet Huan-Nan Shi
Da-Mao Li
Jian Zhang
author_sort Huan-Nan Shi
collection DOAJ
description In this paper, for the difference of famous means discussed by Taneja in 2005, we study the Schur-geometric convexity in (0, ∞) × (0, ∞) of the difference between them. Moreover some inequalities related to the difference of those means are obtained.
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issn 0161-1712
1687-0425
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publishDate 2012-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-b9253cbcbfec4df5bf33e292a46e431b2025-08-20T03:22:50ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/315697315697Refinements of Inequalities among Difference of MeansHuan-Nan Shi0Da-Mao Li1Jian Zhang2Department of Electronic Information, Teacher's College, Beijing Union University, Beijing 100011, ChinaDepartment of Electronic Information, Teacher's College, Beijing Union University, Beijing 100011, ChinaDepartment of Electronic Information, Teacher's College, Beijing Union University, Beijing 100011, ChinaIn this paper, for the difference of famous means discussed by Taneja in 2005, we study the Schur-geometric convexity in (0, ∞) × (0, ∞) of the difference between them. Moreover some inequalities related to the difference of those means are obtained.http://dx.doi.org/10.1155/2012/315697
spellingShingle Huan-Nan Shi
Da-Mao Li
Jian Zhang
Refinements of Inequalities among Difference of Means
International Journal of Mathematics and Mathematical Sciences
title Refinements of Inequalities among Difference of Means
title_full Refinements of Inequalities among Difference of Means
title_fullStr Refinements of Inequalities among Difference of Means
title_full_unstemmed Refinements of Inequalities among Difference of Means
title_short Refinements of Inequalities among Difference of Means
title_sort refinements of inequalities among difference of means
url http://dx.doi.org/10.1155/2012/315697
work_keys_str_mv AT huannanshi refinementsofinequalitiesamongdifferenceofmeans
AT damaoli refinementsofinequalitiesamongdifferenceofmeans
AT jianzhang refinementsofinequalitiesamongdifferenceofmeans