On an Inequality Analogous to the Nesbitt Inequality

  • Christophe Chesneau Department of Mathematics, University of Caen-Normandie, UFR des Sciences - Campus 2, Caen, France
Keywords: cyclic inequalities, Nesbitt inequality, Jensen inequality

Abstract

In this paper, we first examine a cyclic inequality analogous to the Nesbitt inequality, and subsequently establish generalized versions using convex functions and the Jensen inequality. Several applications are provided to illustrate the main results.

Downloads

Download data is not yet available.

References

Bencze, M., & Pop, O. T. (2011). Generalizations and refinements for Nesbitt's inequality. Journal of Mathematical Inequalities, 5(1), 13-20. https://doi.org/10.7153/jmi-05-02

Bencze, M., & Zhao, C. (2008). A refinement of Nesbitt's inequality. Octogon Mathematical Magazine, 16(1A), 275-276.

Chesneau, C. (2026). On three one-parameter families of cyclic inequalities. Journal of Computer Science and Applications in Mathematics, 8(2), 207-212. https://doi.org/10.37418/jcsam.8.2.3

Chesneau, C. (2026). A note on a general convex cyclic inequality. Journal of Computer Science and Applications in Mathematics, 8(2), 257-265. https://doi.org/10.37418/jcsam.8.2.10

Cîrtoaje, V. (2018). Mathematical inequalities: Volume 3: Cyclic and noncyclic inequalities. Lambert Academic Publishing.

Drâmbe, M. O. (2003). Inequalities: Ideas and methods. Ed. Gil.

Nesbitt, A. M. (1903). Problem 15114. Educational Times, 3, 37-38.

Wei, F. H., & Wu, S. H. (2009). Generalizations and analogues of Nesbitt's inequality. Octogon Mathematical Magazine, 17(1), 215-220.

Published
2026-09-07
How to Cite
Chesneau, C. (2026). On an Inequality Analogous to the Nesbitt Inequality. Earthline Journal of Mathematical Sciences, 16(6), 1035-1045. https://doi.org/10.34198/ejms.16626.66.10351045