English

Sharp inequalities for the psi function and harmonic numbers

Classical Analysis and ODEs 2014-06-04 v1

Abstract

In this paper, two sharp inequalities for bounding the psi function ψ\psi and the harmonic numbers HnH_n are established respectively, some results in [I. Muqattash and M. Yahdi, \textit{Infinite family of approximations of the Digamma function}, Math. Comput. Modelling \textbf{43} (2006), 1329\nobreakdash--1336.] are improved, and some remarks are given.

Keywords

Cite

@article{arxiv.0902.2524,
  title  = {Sharp inequalities for the psi function and harmonic numbers},
  author = {Feng Qi and Bai-Ni Guo},
  journal= {arXiv preprint arXiv:0902.2524},
  year   = {2014}
}

Comments

6 pages, 2 figures

R2 v1 2026-06-21T12:11:42.306Z