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Article overview
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The geometric mean is a Bernstein function | Feng Qi
; Xiao-Jing Zhang
; Wen-Hui Li
; | Date: |
29 Jan 2013 | Abstract: | In the paper, the authors establish, by using Cauchy integral formula in the
theory of complex functions, an integral representation for the geometric mean
of $n$ positive numbers. From this integral representation, the geometric mean
is proved to be a Bernstein function and a new proof of the well known AG
inequality is provided. | Source: | arXiv, 1301.6848 | Services: | Forum | Review | PDF | Favorites |
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