Harmonic Mean Inequalities for Hyperbolic Functions
Open Access
- 17 January 2021
- journal article
- Published by Earthline Publishers in Earthline Journal of Mathematical Sciences
- Vol. 6 (1), 117-129
- https://doi.org/10.34198/ejms.6121.117129
Abstract
Inequalities involving hyperbolic functions have been the subject of intense discussion in recent times. In this work, we establish harmonic mean inequalities for these functions. This complements the results known in the literature. The techniques adopted in proving our results are analytical in nature.Keywords
This publication has 14 references indexed in Scilit:
- Monotonicity, concavity, and inequalities related to the generalized digamma functionAdvances in Difference Equations, 2018
- A harmonic mean inequality for the digamma function and related resultsRendiconti del Seminario Matematico della Università di Padova, 2017
- Gamma function inequalitiesNumerical Algorithms, 2008
- An inequality for the gamma function conjectured by D. KershawJournal of Mathematical Inequalities, 2007
- Inequalities involving Γ(x) and Γ(1/x)Journal of Computational and Applied Mathematics, 2006
- On Gautschi's harmonic mean inequality for the gamma functionJournal of Computational and Applied Mathematics, 2003
- ON A GAMMA FUNCTION INEQUALITY OF GAUTSCHIProceedings of the Edinburgh Mathematical Society, 2002
- Inequalities and monotonicity properties for the gamma functionJournal of Computational and Applied Mathematics, 2001
- A harmonic mean inequality for the gamma function [J. Comput. Appl. Math. 87 (1997) 195–198]Journal of Computational and Applied Mathematics, 1998
- A Harmonic Mean Inequality for the Gamma FunctionSIAM Journal on Mathematical Analysis, 1974