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arXiv · 1303.3122

Integral representations of the weighted geometric mean and the logarithmic mean

Feng Qi·Xiao-Jing Zhang·Wen-Hui Li
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Abstract

In the paper, the authors show that the weighted geometric mean and the logarithmic mean are Bernstein functions and establish integral representations of these means by Cauchy's integral theorem in the theory of complex functions.

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Feng Qi, Xiao-Jing Zhang, Wen-Hui Li. 2013-03-13. Integral representations of the weighted geometric mean and the logarithmic mean. https://doi.org/10.1007/s00009-013-0311-z

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