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arXiv · 2508.08818

Some central moments inequalities with applications

Mamta Verma·Ravinder Kumar
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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.

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Mamta Verma, Ravinder Kumar. 2025-08-12. Some central moments inequalities with applications. https://arxiv.org/abs/2508.08818

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