Some central moments inequalities with applications
Functional Analysis
2025-08-13 v1
Abstract
In this paper, we first derive an inequality involving central moments for n real numbers, which in turn provides an extension of Theorem 2.2 of Wolkowicz and Styan [18]. Furthermore, we present refinements of various inequalities obtained by Sharma et al. [12-15] involving central moments for the case of n distinct integers. Moreover, we provide applications of our results in matrix theory and the theory of polynomial equations.
Keywords
Cite
@article{arxiv.2508.08818,
title = {Some central moments inequalities with applications},
author = {Mamta Verma and Ravinder Kumar},
journal= {arXiv preprint arXiv:2508.08818},
year = {2025}
}