A harmonic mean inequality for the digamma function and related results
Horst AlzerWaldbröl, Germany
Graham JamesonLancaster University, UK
We present some inequalities and a concavity property of the digamma function , where denotes Euler's gamma function. In particular, we offer a new characterization of Euler's constant . We prove that is the minimum of the harmonic mean of and for .
Cite this article
Horst Alzer, Graham Jameson, A harmonic mean inequality for the digamma function and related results. Rend. Sem. Mat. Univ. Padova 137 (2017), pp. 203–209DOI 10.4171/RSMUP/137-10