New High-Dimensional Generalizations of Nesbitt's Inequality and Relative Applications
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.
Fields of Study & Subjects
Mathematical Inequalities and Applications
Analytic and geometric function theory
Functional Equations Stability Results
Publication details
- Journal / source
- Contemporary Mathematics
- Pages
- 4201–4236
- Publication date
- 3 July 2026
- Language
- EN