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

Wei-Mao Qian; Bo-Yong Long

doi:10.1155/2012/480689

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Home > Journals > J. Appl. Math. > Volume 2012 > Article

2012 Sharp Bounds by the Generalized Logarithmic Mean for the Geometric Weighted Mean of the Geometric and Harmonic Means

Wei-Mao Qian, Bo-Yong Long

J. Appl. Math. 2012: 1-8 (2012). DOI: 10.1155/2012/480689

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Abstract

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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Wei-Mao Qian. Bo-Yong Long. "Sharp Bounds by the Generalized Logarithmic Mean for the Geometric Weighted Mean of the Geometric and Harmonic Means." J. Appl. Math. 2012 1 - 8, 2012. https://doi.org/10.1155/2012/480689

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Published: 2012

First available in Project Euclid: 14 December 2012

zbMATH: 1244.26048

MathSciNet: MR2923368

Digital Object Identifier: 10.1155/2012/480689

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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, J. Appl. Math. 2012(none), 1-8, (2012)

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