Some central moments inequalities with applications
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908485612994560 |
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| author | Verma, Mamta Kumar, Ravinder |
| author_facet | Verma, Mamta Kumar, Ravinder |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_08818 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some central moments inequalities with applications Verma, Mamta Kumar, Ravinder Functional Analysis 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. |
| title | Some central moments inequalities with applications |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2508.08818 |