Sharp inequalities for the psi function and harmonic numbers

Details Sharp inequalities for the psi function and harmonic numbers Sharp inequalities for the psi function and harmonic numbers

2009-02-15

arxiv.org/abs/0902.2524v1

Mathematics

Classical Analysis and ODEs

6 pages, 2 figures

Scientific paper

In this paper, two sharp inequalities for bounding the psi function $\psi$
and the harmonic numbers $H_n$ 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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