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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Format: | Article |
Language: | English |
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Wiley
2012-01-01
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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. |
format | Article |
id | doaj-art-12bce071b88f4c1fa4abae8b67dc4bb6 |
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 |