| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9502882 | Journal of Mathematical Analysis and Applications | 2005 | 6 Pages |
Abstract
By using the first Binet's formula the strictly completely monotonic properties of functions involving the psi and polygamma functions are obtained. As direct consequences, two inequalities are proved. As an application, the best lower and upper bounds of the nth harmonic number are established.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Feng Qi, Run-Qing Cui, Chao-Ping Chen, Bai-Ni Guo,