Sharp Bounds for the Harmonic Numbers
Classical Analysis and ODEs
2007-05-23 v3
Abstract
We obtain best possible upper and lower bounds for the Lodge-Ramanujan and DeTemple-Wang approximations to the nth Harmonic Number
Keywords
Cite
@article{arxiv.math/0510585,
title = {Sharp Bounds for the Harmonic Numbers},
author = {Mark B. Villarino},
journal= {arXiv preprint arXiv:math/0510585},
year = {2007}
}
Comments
7 pages. Typos corrected. Several improvements in the exposition. Considerable strengthening of theorem 3 on the DeTemple-Wang approximation. Updated references, thanks to Dr. Feng Qi