| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4637746 | Journal of Computational and Applied Mathematics | 2017 | 6 Pages |
Abstract
In the paper, by the Cauchy integral formula in the theory of complex functions, an integral representation for the reciprocal of the geometric mean of many positive numbers is established. As a result, the reciprocal of the geometric mean of many positive numbers is verified to be a Stieltjes transform and, consequently, a (logarithmically) completely monotonic function.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Feng Qi, Bai-Ni Guo,