Open Access
2003 AN INEQUALITY BETWEEN RATIO OF THE EXTENDED LOGARITHMIC MEANS AND RATIO OF THE EXPONENTIAL MEANS
Feng Qi, Bai-Ni Guo
Taiwanese J. Math. 7(2): 229-237 (2003). DOI: 10.11650/twjm/1500575060

Abstract

In this article, we prove an inequality between the ratio of the extended logarithmic means and the ratio of the exponential means. The proof is based on an inequality between logarithmic mean and one-parameter mean, which can be deduced from monotonicity of the extended mean values.

Citation

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Feng Qi. Bai-Ni Guo. "AN INEQUALITY BETWEEN RATIO OF THE EXTENDED LOGARITHMIC MEANS AND RATIO OF THE EXPONENTIAL MEANS." Taiwanese J. Math. 7 (2) 229 - 237, 2003. https://doi.org/10.11650/twjm/1500575060

Information

Published: 2003
First available in Project Euclid: 20 July 2017

zbMATH: 1050.26020
MathSciNet: MR1978012
Digital Object Identifier: 10.11650/twjm/1500575060

Subjects:
Primary: 26D15

Keywords: exponential mean , extended logarithmic mean , extended mean values , inequality , logarithmic mean , one-parameter mean , ratio

Rights: Copyright © 2003 The Mathematical Society of the Republic of China

Vol.7 • No. 2 • 2003
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