中文

Sharp Bounds for the Harmonic Numbers

经典分析与常微分方程 2007-05-23 v3

摘要

We obtain best possible upper and lower bounds for the Lodge-Ramanujan and DeTemple-Wang approximations to the nth Harmonic Number

关键词

引用

@article{arxiv.math/0510585,
  title  = {Sharp Bounds for the Harmonic Numbers},
  author = {Mark B. Villarino},
  journal= {arXiv preprint arXiv:math/0510585},
  year   = {2007}
}

备注

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