Generalization of an Inequality by Laforgia and Natalini
Department of Mathematics, School of Mathematical Sciences, University of Technology and Applied Sciences, P. O. Box 24, Navrongo, Upper-East Region, Ghana.
Corresponding Author: Kwara Nantomah. Email: knantomah@cktutas.edu.gh
Accepted: 17 August 2026 |
Published: 30 August 2026
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Abstract:
In this short paper, we establish a generalization of an inequality involving the Rieman zeta function. The inequality was established by Laforgia and Natalini in 2006 and subsequently improved by other researchers. The main tools used to prove our results are the logarithmic convexity property of the Riemann zeta function and monotonicity properties of certain functions containing the Riemann zeta function.
Generalization of an Inequality by Laforgia and Natalini.
Annals of Communications in Mathematics
https://doi.org/10.62072/acm.2026.09040
Copyright © 2026 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (
https://creativecommons.org/licenses/by/4.0/).
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