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<p>In this work, we present a refinement of Bhatia-Davis inequality [<CitationRef CitationID="CR2">2</CitationRef>] and Nagy inequality [<CitationRef CitationID="CR5">5</CitationRef>] for <i>n</i> distinct integers. Moreover, we demonstrate how these inequalities can be applied in the realms of matrix theory and the theory of polynomial equations.</p>

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Inequalities for the variance of integers with applications

  • 期刊论文

  • 发表日期：

    2025年2月13日

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  • Mamta Verma,
  • Ravinder Kumar

摘要

In this work, we present a refinement of Bhatia-Davis inequality [2] and Nagy inequality [5] for n distinct integers. Moreover, we demonstrate how these inequalities can be applied in the realms of matrix theory and the theory of polynomial equations.