Sharp inequalities for the psi function and harmonic numbers

preprint2009arXivOpen access

Abstract

In this paper, two sharp inequalities for bounding the psi function ψψ 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.

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