Some New Inequalities for Harmonic Mathieu Series Leshkovski, Delcho harmonic Mathieu series psi function polygamma functions inequalities In this paper we derive some new estimates for some class of harmonic Mathieu series, using their integral representations and well known results for the harmonic numbers and the polygamma functions. Balkan University Press 2020-06-30 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Research Article https://ijtns.ibupress.com/articles/some-new-inequalities-for-harmonic-mathieu-series International Journal of Technical and Natural Sciences; Vol. 1 No. 1 (2020); 1-5 2671-3500 2671-3519 en https://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess