Sharp Bounds by the Generalized Logarithmic Mean for the Geometric Weighted Mean of the Geometric and Harmonic Means

We present sharp upper and lower generalized logarithmic mean bounds for the geometric weighted mean of the geometric and harmonic means.

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Bibliographic Details
Main Authors: Wei-Mao Qian, Bo-Yong Long
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/480689
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author Wei-Mao Qian
Bo-Yong Long
author_facet Wei-Mao Qian
Bo-Yong Long
author_sort Wei-Mao Qian
collection DOAJ
description We present sharp upper and lower generalized logarithmic mean bounds for the geometric weighted mean of the geometric and harmonic means.
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institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-12bce071b88f4c1fa4abae8b67dc4bb62025-02-03T05:46:27ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/480689480689Sharp Bounds by the Generalized Logarithmic Mean for the Geometric Weighted Mean of the Geometric and Harmonic MeansWei-Mao Qian0Bo-Yong Long1School of Distance Education, Huzhou Broadcast and TV University, Huzhou 313000, ChinaSchool of Mathematics Science, Anhui University, Hefei 230039, ChinaWe present sharp upper and lower generalized logarithmic mean bounds for the geometric weighted mean of the geometric and harmonic means.http://dx.doi.org/10.1155/2012/480689
spellingShingle Wei-Mao Qian
Bo-Yong Long
Sharp Bounds by the Generalized Logarithmic Mean for the Geometric Weighted Mean of the Geometric and Harmonic Means
Journal of Applied Mathematics
title Sharp Bounds by the Generalized Logarithmic Mean for the Geometric Weighted Mean of the Geometric and Harmonic Means
title_full Sharp Bounds by the Generalized Logarithmic Mean for the Geometric Weighted Mean of the Geometric and Harmonic Means
title_fullStr Sharp Bounds by the Generalized Logarithmic Mean for the Geometric Weighted Mean of the Geometric and Harmonic Means
title_full_unstemmed Sharp Bounds by the Generalized Logarithmic Mean for the Geometric Weighted Mean of the Geometric and Harmonic Means
title_short Sharp Bounds by the Generalized Logarithmic Mean for the Geometric Weighted Mean of the Geometric and Harmonic Means
title_sort sharp bounds by the generalized logarithmic mean for the geometric weighted mean of the geometric and harmonic means
url http://dx.doi.org/10.1155/2012/480689
work_keys_str_mv AT weimaoqian sharpboundsbythegeneralizedlogarithmicmeanforthegeometricweightedmeanofthegeometricandharmonicmeans
AT boyonglong sharpboundsbythegeneralizedlogarithmicmeanforthegeometricweightedmeanofthegeometricandharmonicmeans