Mathematica Bohemica, first online, pp. 1-4

An inequality for Fibonacci numbers

Horst Alzer, Florian Luca

Received March 21, 2021.   Published online January 26, 2022.

Abstract:  We extend an inequality for Fibonacci numbers published by P. G. Popescu and J. L. Díaz-Barrero in 2006.
Keywords:  Fibonacci numbers; inequality
Classification MSC:  11B39
DOI:  10.21136/MB.2022.0032-21

PDF available at:  Institute of Mathematics CAS

[1] T. Koshy: Fibonacci and Lucas Numbers with Applications. Volume I. Pure and Applied Mathematics. A Wiley-Interscience Series of Texts, Monographs, and Tracts. Wiley & Sons, New York (2001). DOI 10.1002/9781118033067 | MR 1855020 | Zbl 0984.11010
[2] P. G. Popescu, J. L. Díaz-Barrero: Certain inequalities for convex functions. JIPAM, J. Inequal. Pure Appl. Math. 7 (2006), Article ID 41, 5 pages. MR 2221322 | Zbl 1132.26011

Affiliations:   Horst Alzer, Morsbacher Strasse 10, 51545 Waldbröl, Germany, e-mail:; Florian Luca, Wits University, School of Maths, Jan Smuts 1, Braamfontein 2000, Johannesburg, South Africa, e-mail:

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