New High-Dimensional Generalizations of Nesbitt's Inequality and Relative Applications

Junfeng Zhang; Jintao  Wang

doi:10.37256/cm.7420267246

New High-Dimensional Generalizations of Nesbitt's Inequality and Relative Applications

Authors

Junfeng Zhang Department of Mathematics, Wenzhou University, Wenzhou 325035, China
Jintao Wang Department of Mathematics, Wenzhou University, Wenzhou 325035, China https://orcid.org/0000-0002-3203-1413

DOI:

https://doi.org/10.37256/cm.7420267246

Keywords:

Nesbitt's inequality, Jensen's inequality, Chebyshev's inequality, semiconcave-semiconvex theorems, Hurwitz-Lerch zeta functions

Abstract

Two kinds of novel generalizations of Nesbitt's inequality are explored in various cases regarding dimensions and parameters in this article. Some other cases are also discussed elaborately by using the semiconcave-semiconvex theorem. The general inequalities are then employed to deduce some cyclic inequalities and mathematical competition questions. At last, a relation about Hurwitz-Lerch zeta functions is obtained.

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Published

2026-07-03

How to Cite

Zhang J, Wang J. New High-Dimensional Generalizations of Nesbitt’s Inequality and Relative Applications. Contemp. Math. [Internet]. 2026 Jul. 3 [cited 2026 Aug. 13];7(4):4201-36. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/7246

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Issue

Contemporary Mathematics, Volume 7 Issue 4 (2026)

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.