New high-dimensional generalizations of Nesbitt's inequality and relative applications
General Mathematics
2025-04-02 v1
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 alternate inequalities and mathematical competition questions. At last, a relation about Hurwitz-Lerch zeta functions is obtained.
Keywords
Cite
@article{arxiv.2504.00005,
title = {New high-dimensional generalizations of Nesbitt's inequality and relative applications},
author = {Junfeng Zhang and Jintao Wang},
journal= {arXiv preprint arXiv:2504.00005},
year = {2025}
}