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<p>In this note, we establish corresponding Grüss–Ostrowski-type inequalities for functions with bounded variation. As an application, we provide some estimates for the error in numerical integration rules and estimation for the cumulative distribution function of a given random variable.</p>

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Grüss–Ostrowski inequalities and bounded variation

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年10月16日

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  • Karol Gryszka

摘要

In this note, we establish corresponding Grüss–Ostrowski-type inequalities for functions with bounded variation. As an application, we provide some estimates for the error in numerical integration rules and estimation for the cumulative distribution function of a given random variable.